Mathematics High School

hi please help me thanksss
pls provide workings too thanks :)​

Hi Please Help Me Thankssspls Provide Workings Too Thanks :)

Answers

Answer 1

Step-by-step explanation:

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Class 11

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>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

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Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

Related Questions

Someone help meee?
This is soo hard

Answers

Answer:

100

Step-by-step explanation:

angles CHF and EHI are congruent angles because CD is a straight line.

Therefore EHI must be 20 degrees.

angles DIG and EIH are congruent angles because CD is a straight line.

Therefore EIH must be 60 degrees.

Now that you know two of the three angles in the triangle HEI,

Total degrees in a triangle - EIH - EHI = HEI

180 - 60 - 20 = 100

Drag a statement or reason to each box to complete this proof.

Given: the measure of angle A C D equals 60 degrees. Prove: triangle A B C is an obtuse triangle. Art: A triangle A B C. Side B C of the triangle is extended as a ray through point D.

--
check images below!

Answers

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle ABC with extended line CD.

Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.

The ∠BCD is straight angle so it will be 180°.

∠BCD = ∠ACB + ∠ACD

∠ACB + 60 = 180

∠ACB = 180 - 60 = 120°.

An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.

Since∠ACB > 90° therefore triangle ABC is an obtuse angle.

Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".

For more about triangles,

https://brainly.com/question/2773823

#SPJ5

Which expression(s) are equivalent to -12.48 Show me how to do it pls
-416 x 0.3.
-3 x 41.6.
-4.16 x 3
All of the above

Answers

Answer:

C. -4.16 x 3

Step-by-step explanation:

Find the values of expressions and compare with -12.48:

-416 * 0.3 = -124.8 ≠ -12.48, No-3 * 41.6 =  -124.8 ≠ -12.48, No-4.16 * 3 = - 12.48, Yes

#1

-416(0.3)-12.48

Yes

#2

-3(41.6)-124.8

No

#3

-4.16(3)-12.48

Yes

uhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Caaaaannnnnn''ttttttttt seeeee iiiiiitttttt

Dilations of a triangle are congruent to the original triangle.

Answers

Answer:

origanal

Step-by-step explanation:

origanaol

10.

Match the graph with the correct equation.

A. y + 3 = –(x + 5)
B. y – 5= –(x + 3)
C. y – 3 = (x + 5)
D. y – 3 = –(x + 5)

Answers

Answer:

D. y - 3 = -(x + 5)

Step-by-step explanation:

I used a calculator called m.a.t.h.w.a.y !

Answer:

D. y – 3 = –(x + 5)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

−

1

y-intercept:  

(

0

,

−

2

)

x

y

0

−

2

1

−

3

Plz answer quick giving brainliest

Answers

Simplify using FOIL 15x3+18x+10x2+12
The answer is (3x+2)(5x^2+6)
Please mark brainelist

Antonio thought of a number ‘x’. He subtracted 7 from thrice the number to get 11.

Find x.​

Answers

Answer:

32=X becuase you said He subtracted 7 three times or thrice so we multiply that then add 11 because it was our remaining number from subtraction. so 32

Step-by-step explanation:

A plant grows 3/8 inch every month. How many inches
does the plant grow in 10 months?
© ?
0 10

Answers

Answer:

B. 3 3/4

Step-by-step explanation:

3/8 * 10 = 30/8

30/8 = 3 3/4

3 3/4 inches or 15/4

whats 7 squared ....................................................

Answers

Seven to the second power is 49

Answer:

[tex]49[/tex]

Step-by-step explanation:

[tex]→7×7[/tex]

[tex]→49[/tex]

Two sides of a triangle have lengths 6 and 16. Which inequalities represent the possible

lengths for the third side, x?

Answers

Answer:

22 > x > 10

Step-by-step explanation:

By the triangle inequality, the length of the 3rd side must be less than the sum of the two other sides and greater than the positive difference of the other two sides.  Thus, 6 + 16 > x > 16 - 6

22 > x > 10

what is the best way to explain graphing

Answers

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. ... We then represent the data using a bar graph. The number of each of the supplies is represented with bars. The more the height of the bar, the more is the number of the supply or item used.

Answer:

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Step-by-step explanation:

30 POINTS AND BRAINLEST FOR ANSWER HELP!!!!!

​

Answers

Answer:

a

Step-by-step explanation:

3. Dean has these cans of soup in his kitchen cabinet: 2 tomato, 3 chicken, 2 cheese, 2 potato, 1 beef. Dean will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of beef soup both times? *

Answers

Answer:

2/20 or 0.1

Step-by-step explanation:

So we are given this data:

Tomato = 2

Chicken = 3

Cheese = 2

Potato = 2

Beef = 1

Total Chances (Sum Of All)

Total = 10

Beef is 1

To get beef soup one time it would be 1/10

what about 2 times

we can just multiply by 2*

so 1  / 10 * 2 = 2 / 20 or 0.1

The Answer would be 2/20 or 0.1

explain how and solve please asap !

Answers

y is pretty straightforward:
3y = 123
y = 41
x is slightly less trivial but also simple:
123 + 4x + 1 = 180
4x = 56
x = 14

Answer:

x=14

y=41

x+y= 55

Step-by-step explanation:

Since a and b are parallel you know that 123° and 3y are the same degree, so 123 divided by 3 because its 3×y= 41 so y=41

the line123° and 4x+1 are on has to equal 180 because its a straight line, 180-123= 57. 57- 1 because its not with the x= 56. 56÷4 because its 4×x/its with the x= 14. Hope thsi helps :)

how much is 40+ 12= and 34=23=34=45=4=

Answers

Answer:

52 and 150?

Step-by-step explanation:

40+12=52

34+23+34+45+4

Simplify: 57+34+49

Simplify: 91+49

Add: 140

Graeme is inviting 7 friends to a party.Each friend wants 4 cookies and each box has 12 cookies. How many boxes should Graeme get?

Answers

Answer:

Graeme should get 3 boxes

Step-by-step explanation:

hope this helped!

you got this dont ever give up all of you are so so smart!!

jada has $20 to spend on games and rides at a carnival. Games cost $1 each and rides are $2 each.

which equation represents the relationship between the number of games, x , and the number of rides, y,
that Jada could do if she spends all her money?
A: x + y =20
B: 22 + 4 = 20
C: 0+2y=20

Answers

Answer:

I believe its A

Step-by-step explanation:

Hope it helps

The answer is a :)) hope this helps

The set of all possible outputs for a function is its:

Answers

Answer:

the set of all possible outputs for a function is the range

What is the distance between 3 and 1?

Answers

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

pls help me on this thank you

Answers

Answer:

C) y+6=-2(x-4)

Step-by-step explanation:


What is the midpoint of the segment that joins the complex numbers 7 + 3i and -5 – 8i?
A) 16+11/2i
B) (1,5/2)
C) 1- 5/2i
D) (-6, 11/2)

Answers

Answer:

C)

Step-by-step explanation:

The midpoint is the average of the two points.

Thus,

Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i

Solve for x step by step: 2(n+5)=-2

Answers

The answer is -6

Step 1: Simplify both sides of the equation.
(2)(n) + (2)(5) =-2
2n + 10 = -2
Step 2: Subtract 10 from both sides.
2n+10−10=−2−10
2n = -12
Step 3: Divide both sides by 2.
2n/2 = -12/2
N=-6

A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?

Answers

Answer:

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average.

four hundred five times seventy

Answers

Answer:

Step-by-step explanation:

28350, two thousand and eight, three hundred and fifty

Answer:

28350

Step-by-step explanation:

Given the Quadrilateral pictured below. What is the
value of "X"?

Answers

Answer:

Value of x is used to consider unknown value.

Step-by-step explanation:

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable.

need help pls thx..........

Answers

Answer:

170 degree. is the answer

standard form of (x+4)(x-6

Answers

(x+4)(x-6)
x^2 - 6x + 4x - 24
X^2 - 2x - 24

You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years?

Round your answer to the nearest dollar.

Do NOT round until you have calculated your final answer

Answers

To solve this we need to figure out what 7.5% of 15,500 is. (It’s 1162.5). Now we know that after one year it is a total of 16,662.5. We then figure out what 7.5% of 16,662.5 is, which is 1,249.6875. You then add that to 16,662.5 which comes out to 17,912.1875. We then figure out 7.5% of that is 1,343.4140625. We then add that to the last total which is 19,255.6015625 and we simplify that to 19,256 and we find out that the final total is $19,256. But it wants how much have we earned which means we need to subtract the original from the new, which is 3756 and we add a unit.

Meaning the final answer is $3,756.

HELP WILL GIVE BRAINLIEST ASAP

Answers

Answer:

I believe it's also 74°

Step-by-step explanation:

Because AGF and CGE are congruent,so the angle measurement should stay the same

Answer:

CGE is 74°

Step-by-step explanation:

AGF = FGD

FGD = CGE

AGF = EGB

AGF = 74°

FGD = 74°

CGE = 74°

EGB = 74°

360° is a circle and CGA = BGD

74 + 74 + 74 + 74 + x + x = 360

296 + 2x = 360

2x = 360 - 296

2x = 64

2x/2 = 64/2

x = 32

CGA and BGD are 32

CGE is 74°

Hope This Helps! •v•

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