#37. What is the next step when solving the equation sin (2x) - sin (x) = 0​

Answers

Answer 1

sin(2x) - sin(x) = 0

Expand the first term using the double angle identity:

2 sin(x) cos(x) - sin(x) = 0

Factor out sin(x) :

sin(x) (2 cos(x) - 1) = 0

This leaves you with 2 cases that can be solved separately:

sin(x) = 0   or   2 cos(x) - 1 = 0

sin(x) = 0   or   cos(x) = 1/2

[x = 2   or   x = π + 2]   or   [x = π/6 + 2   or   x = 5π/6 + 2]

(where n is any integer)


Related Questions

f(x)=x-7/x
What is the domain of f?

Answers

Answer:

domain: {x ≠ 0}

Step-by-step explanation:

Please Help i need the answer done step by step!

Answers

Answer:

55°

Step-by-step explanation:

180-125= 55

since they are supplementary, just subtract from 180

can anybody help me please

Answers

Answer:

[tex]the \: forth \: answer \: is \: correct \: answer[/tex]

Lucy will spend more than $26 on gifts. So far, she has spent $17. What are the possible additional amounts she will spend?
use C for the additional amount Lucy will spend

Answers

Answer:

She can spend anything greater than $9.  Such as, $10, $11, $12, $13

Step-by-step explanation:

Subtract 17 from 26 to get $9

250 grams of flour cost $ 17 .00 . how muchnwill 3 bags each holding 1.5kg of flour cost​

Answers

Answer:

$51.00

Step-by-step explanation:

One bag price multiply it number of price bag wanted $17.00 × 3 =$51.00

what directed number is suggested by the statement "I gained 3 pounds "?​

Answers

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

Solve for each unknown angle measure...


Please help! This a a test btw so please give me the right answer!​

Answers

Answer:

because l1//l2 => z + 65 = 180

y + 65 = 90

x + 65 = 90

<=> z = 115

y = 25

x = 25

Answer:

x=25

y=25

z=115

Step-by-step explanation:

x congruent to y

180-90-65=25

180-65=115

A flagpole 15 feet tall casts a shadow 9 feet long. Find, to the nearest degree, the angle of elevation of the sun at this time of day ? trigonometry

Answers

Answer:

noon 180 degrees from 12 to 12

cions: Write the decimal as a percent and as a fraction or mixed number in simplest
0.15
0.9
0.02

Answers

Answer
15%
90%
2%
Explanation

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10 kmh faster than the other. If the two cyclists are 162 kilometers apart after 3 hours, what is the rate of each cyclist?

Answers

let x=rate of slower cyclist
x+9=rate of faster cyclist
distance=travel time*rate
..
3x+3(x+9)=99
3x+3x+27=99
6x=72
x=12
x+9=21
rate of slower cyclist=12 km/h
rate of faster cyclist=21 km/hr

Can someone please help with this math problem

Answers

Given:

The function is:

[tex]y=(f(x))^2[/tex]

To find:

The derivative of the given function at x=1, i.e., y'(1).

Solution:

Chain rule of differentiation:

[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]

We have,

[tex]y=(f(x))^2[/tex]

Differentiate with respect to x.

[tex]y'(x)=2(f(x))\dfrac{d}{dx}f(x)[/tex]

[tex]y'(x)=2f(x)f'(x)[/tex]

Putting [tex]x=1[/tex], we get

[tex]y'(1)=2f(1)f'(1)[/tex]

From the given table of values it is clear that f(1)=3 and f'(1)=3. Putting these values in the above equation, we get

[tex]y'(1)=2(3)(3)[/tex]

[tex]y'(1)=18[/tex]

Therefore, the value of y'(1) is 18.

Plz help me well mark brainliest if correct!....

Answers

Answer:

the answer to the question is A

1. Priya has a recipe for banana bread. She uses 8 cups of flour to make 3 loaves of banana bread
Complete the table for this relationship. (2 points)
f
b
1
8
3

Answers

Answer:

A picture of this would really help thx so much! (Please comment when u have done so that i can be notified

Step-by-step explanation:

If (x, 0) lies on the graph of y = logbx , then x =
1
B
0

Answers

Answer:

1

Step-by-step explanation:

Need help quick thank you in advance

Answers

Answer:

eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea

Step-by-step explanation:

#1

Solving for x only

[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair

[tex]\\ \sf\Rrightarrow x+145=180[/tex]

[tex]\\ \sf\Rrightarrow x=35°[/tex]

#2

[tex]\\ \sf\Rrightarrow x+32=90[/tex]

[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]

And

[tex]\\ \sf\Rrightarrow y+x=90°[/tex]

[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]

9) The present ages of Juna and Jubin are in the ratio 5:8. After 4 years the sum
of their ages will be 34. Find their present ages.​

Answers

Answer:

Present age of Juna = 10 years

Present age of Jubin = 16 years

Step-by-step explanation:

Ratio of present ages = 5: 8

Let the present ages of:

Juna be 5x years and Jubin be 8x years

(where x is the common multiplier of the given ratios)

Four years after:

Juna's age = (5x + 4) years

Jubin's age = (8x + 4) years

According to the question:

(5x + 4) + (8x + 4) = 34

13x + 8 = 34

13x = 34 - 8

13x = 26

x = 26/13

x = 2

5x = 5*2 = 10 years

8x = 8*2 = 16 years

Hence,

Present age of Juna = 10 years

Present age of Jubin = 16 years

please help i dont get it

Which team has the shortest player? Explain.

Which team has the tallest player? Explain.

Which box plot has the greater IQR? Explain.

Ms.A thinks that the 25% of the NY Knicks are at least 74 inches tall. Do you agree or disagree?
Explain using mathematical reasoning.

Ms.T rann thinks that 1the NY Knicks has a larger spread than Liverpool. Do you agree or disagree? Explain using mathematical reasoning.​

Answers

Answer:

1. the team of Liverpool FC has the shortest player because the minimum is 64.

2. ny Knicks has the tallest player with a height of 84.

3. the NY Knicks box has the largest IQR because 82 - 74 = 8.

MS. A is wrong bc the 75% of players are taller than 74 inches.

Step-by-step explanation:

Fun Fact that has nothing to do with this:

The Beatles meet in Liverpool.

Plz help me well mark brainliest if correct!....

Answers

Answer:

C

Step-by-step explanation:

B can immediately be eliminated because it has an area of 14.

A and C have an area of 10.

So add the sides.

C:

4 + 4 + 1 + 1 + 2 + 2 + 1 + 3

= 18

A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =

10 + 4 =

14


At football games, Stagg Boosters charges $2 for hot chocolate and $3 for Gatorade. The boosters sold
126 drinks totaling $306. How many hot chocolates did they sell?

Pleas help!

Answers

Answer:

72 hot chocolates

Step-by-step explanation:

2h + 3g=306 equation 1 h=hot chocolate g=Gatorade

h + g =126. equation 2

h=126-g isolate h in equation 2

2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1

252-2g+3g=306

g=54

solve for h:

h + g = 126

h+54=126

h=72

check answer:

2h + 3g=306

2(72) +3(54)=306

144+162=306

306=306

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

1080 in^2

Step-by-step explanation:

Answer:

180 in^2

Step-by-step explanation:

A 12" wide by 30" flag has the area  A = (1/2)(base)(height) square inches, or 180 square inches.

8. If KITE is a kite, find the value of x and y.

A)x=5, y=5
B)x=3, y=5
C)x=8, y=3
D)x=3, y=8

Answers

Answer:

x = 3; y = 8

Step-by-step explanation:

Sides KI and KE are congruent.

4x = 12

x = 3

Sides IT and ET are congruent.

3y - 4 = 20

3y = 24

y = 8

Answer: x = 3; y = 8

sum 1 help pls!!!!!!!!!

Answers

Answer:

5¹⁵

Step-by-step explanation:

(5³)⁹ = 5²⁷

5²⁷ ÷ 5¹² = 5¹⁵

Use grid paper to find the median of the data. 16, 24, 13, 36, 22, 26, 22, 28, 25 will give Briainelst​

Answers

Answer:

24

Step-by-step explanation:

put them in ascending order then cross of one each side still you reach the middle

Find the area of this triangle round to the nearest tenth

Answers

Answer:

128.08 in^2

Step-by-step explanation:

A=1/2 ab SinC

=1/2×11×24×Sin 76

The area of given triangle is 128.1 square inches.

What is area of SAS triangle?

The area of a SAS triangle is the total amount of space it encloses in a 2-dimensional plane. "SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.

The formula to calculate the area of a triangle using SAS is given as,

1. When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)

2. When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)

3. When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)

Given

a = 24 inches

b = 11 inches

∠C=76°.

Area of SAS triangle = [tex]\frac{1}{2} absinc[/tex]

Area = [tex]\frac{1}{2}(24)(11)sin76^{0}[/tex]

Area = 128.079 ≅ 128.1 (nearest  tenth)

Hence, the area of given triangle is 128.1 square inches.

Find out more information about area of SAS triangle here

brainly.com/question/3509451

#SPJ2

Verify: 4tan(θ)sec(θ) = (1+sin(θ)/1−sin(θ)) − (1−sin(θ)/1+sin(θ))

Answers

Working with the right side,

(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))

multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives

(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))

… = (1 + sin(θ))^2 / cos^2(θ)

and

(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))

… = (1 - sin(θ))^2 / cos^2(θ)

Now combine the fractions, expand the numerator, and simplify:

(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)

… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)

… = 4 sin(θ) / cos^2(θ)

… = 4 • sin(θ)/cos(θ) • 1/cos(θ)

… = 4 tan(θ) sec(θ)

picture included-11 points

Answers

Answer:

Using the Pythagoras theorem, we have:

[tex]c = \sqrt{a {}^{2} + b {}^{2} } [/tex]

with a = 5, b = 6, we have:

[tex]c = \sqrt{5 {}^{2} + 6 {}^{2} } = \sqrt{61} [/tex]

PLS HELP 80 POINTS AND BRAINLIEST What is the surface area of the rectangular prism below?




17 yd²

84 yd²

108 yd²


168 yd²

Answers

Answer:

168 yd²

Step-by-step explanation:

1) Dark Grey:

[tex]A_1 = 2(2 * 9) = 2* 18 = 36\ yd^2[/tex]

2) Light Grey:

[tex]A_2 = 2(2*6) = 2*12 = 24\ yd^2[/tex]

3) Whitish-Grey:

[tex]A_3 = 2(6*9) = 2 * 54 = 108\ yd^2[/tex]

4) Total Area:

[tex]A = A_1 + A_2 + A_3 = 36 + 24 + 108 = 168\ yd^2[/tex]


Which of the following values are in the range of the function graphed below?
Check all that apply

Answers

Answer:

6

Step-by-step explanation:

I Just answered the question on my test

This figure shows two identically sized posters that need to be hung on a
10-foot-wide wall.
How far apart, in feet, should each poster be for x to be the same distance
at all three places

Answers

Answer: 2.5 ft

Step-by-step explanation: Add 1 1/4 + 1 1/4  =  2.5

Subtract 2.5 ft from 10 ft = 7.5 ft  divided by 3 places = 2.5 ft

To check answer: 2.5ft + 2.5ft + 2.5ft + 1 1/4ft + 1 1/4ft = 10 ft

The distance between the two identically sized posters should be 2,5 ft at all three places.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

Let x be the distance between the two identically sized posters.

Add 1 1/4 + 1 1/4  =  2.5

The total length of the given wall is 10 ft.

here, the equation formed as

x + x +x + 2.5 = 10

3x + 2.5 = 10

3x = 10 - 2.5

3x = 7.5

x = 2.5

So, The distance between the two identically sized posters should be 2,5 ft at all three places.

Learn more about linear equations;

https://brainly.com/question/27056029

Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So, he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as he drives for t minutes. Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house. 12 minutes 27 minutes 31 minutes 7 minutes 10.4 miles on his return trip arrowRight 5.6 miles on his trip to the restaurant arrowRight 9.6 miles his trip to the restaurant arrowRight 7.2 miles on his return trip arrowRight

Answers

Answer:

The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)

Step-by-step explanation:

Other Questions
a/7 =9 a=?What does a=? Music is often used in film for all of the following EXEPT....A. To establish the moodB. To highlight a characterC. To help create the settingD. To distract from the other actions How many grams of sugar (C12H22011) is needed to make a 1.3 L solution that is 0.13 M? Which of the following was a weakness of the Articles of Confederation? The central government was given less power than state governments. The president was given the same amount of power as a king or queen. Congress was able to collect taxes from people to pay for different things. Congress could declare war and conduct foreign affairs on behalf of the states. Preciso de ajudar nessa questo que segue em anexo. A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 pointsfor correct answers)a) How many sides does it have?b) What is the sum of the interior angles?c) What is the measure of one of its exterior angles? What is the slope of the line Which snack contains mostly carbohydrates?YogurtNutsMilkFruit What two factors led to the beginning of World War II in Europe Even healthy people can be affected by high levels of ozone near the ground.True or False why coastal areas are mostly windy? give reason Which feature of the cell is present only in photosynthetic organisms? (A) mitochondrion (B) central vacuole (C) chloroplast (D) cell membrane a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2 get nae'naed .___________. what is the role of bacteria in moving nitrogen through the ecosystem Which technology was advanced by Michael Dell and led to the creation of a majorTexas Industry?A:SteelB:Computer C:Aerospace D:healthcareHELP ASAP Solve for x and find themissing angles :) a 30n force pushes a box to the left, a 40n force pushes a box to the right, the box will Calculate the perimeter of the following shape.6cmy=10 cm12 cm5 cm What is the number of moles of glucose (CHO) in 0.500 L of a 0.40 M solution?