PLEASE HELP ASAP
prove the identity:
sec x sin x
—————— =sin^2x
tan x+cot x
Options in pic

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

[tex]\displaystyle \frac{\sec x\sin x}{\tan x+\cot x}\\\\=\frac{\frac{1}{\cos x} \sin x}{\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}}\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin x \sin x}{\cos x \sin x} + \frac{\cos x \cos x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin^2 x}{\cos x \sin x} + \frac{\cos^2 x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2 x+\cos^2 x}{\cos x \sin x} }\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{1}{\cos x \sin x} }[/tex]

[tex]=\frac{\sin x}{\cos x}\cdot \sin x \cos x\\ \\=\frac{\sin x \sin x \cos x}{\cos x}\\ \\=\sin^2x[/tex]

Thus, the identity is proven. Match the options up accordingly to my step-by-step process.

Related Questions

what is the measure of BDC?

Answers

55. the central angels are the same, so the arc measure is the same

answer ~ 55

Explanation ~ because the book said so > : )

Find the slope of a line parallel to -3x+7y=-15

Answers

Answer:

[tex] \boxed{\rm \: Slope = 3/7 \: x}[/tex]

Step-by-step explanation:

Given :

3x+7y=-15

To Find:

The slope

Solution:

Well,to find out the slope of the line here, we'll need to re-write the fully solved equation into slope - intercept form.

[tex] \boxed{ \rm \: y = mx = b}[/tex]

Here,

m = slopeb = y - intercept.

[Add 3x to both sides to the original equation:]

[tex] \rm \: 7y = - 15 + 3x[/tex]

Divide each term in this equation by 7:

[tex] \cfrac{7y}{7} = \cfrac{ - 15}{7} + \cfrac{3x}{7} [/tex][tex] \rm \: y = \cfrac{ - 15}{7} + \cfrac{3x}{7} [/tex]

Now rewrite this equation into slope-intercept form.

[tex]y = mx + b[/tex]

Plug values.

[tex]y = \cfrac{3x}{7} - \cfrac{15}{7} = \cfrac{3}{7} x - \cfrac{15}{7} [/tex]

> So , y - intercept is 15/7> Slope m is 3/7 x.

Hence,we can conclude:

The slope of the line parallel to -3x+7y=-15 is 3/7 x.

[tex] \rule{225pt}{2pt}[/tex]

How long will it take to triple a sum of money if it is invested at a rate of 6.25% compounded continuously? Round your answer to 2 decimal places.

Answers

Answer:

So the answer is approximately 18 years

Step-by-step explanation:

Your interest rate is 6.25%, or, 0.0625

A=P⋅(1+(r/n))^nt

Where:

P is the initial amount

r is annual rate of interest

t is number of years

A is the final amount of money

n is the number of times the interest is compounded per year

3P=P(1+0.0625)

3P=P (1.0625)^t

3=1.0625^t

Now we should use logarithmic functions.

ln(3)=t⋅ln(1.0625)

ln(3)ln(1.0625)=t

t=18.12 years

please do answer:

Simplify the expression---5x-2y + 3x + 2y

(100 points)

Answers

5x-2y+3x+2y

Combine like terms

5x+3x-2y+2y(5+3)x+(-2+2)y8x+08x

Answer:

Step-by-step explanation:

Given expression:

[tex]5x - 2y + 3x + 2y[/tex]

As we know, any negative integer being added by itself is 0. [-2y + 2y = 0]

[tex]\implies 5x - 2y + 3x + 2y[/tex][tex]\implies 5x + 3x + 0[/tex]

Collect like terms and simplify;

[tex]\implies 5x + 3x + 0[/tex][tex]\implies x(5 + 3) + 0[/tex][tex]\implies x(8) + 0 = \boxed{8x}[/tex]

Therefore, 8x is the simplified term.

Learn more about this topic: https://brainly.com/question/12605426

Identify the range of the function shown in the graph

Answers

Answer:

0 ≤ y ≤ 8

Step-by-step explanation:

DOMAIN is x values of a function/graph

RANGE is the y-values that a function can have .....

this one goes from 0 to 8 inclusive

please help me do my mathematics assignment experts

Answers

Step-by-step explanation:

try this option, note: 1) task 'd' is solved only; 2) the answer is marked with green colour.

Bao owns a small business selling used books. She knows that in the last week 60 customers paid cash, 3 customers used a debit card, and 27 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.

Answers

Answer:

It would be a 3/10 or 30% chance.

Answer:

Step-by-step explanation:

3/10 or .30 or30%

3X minus 2Y is equal to or greater than or equal to four

Answers

Answer:

3x- 2y

Step-by-step explanation:

its defintly not = to four because you cant subtract two diffrent varibles so it should be less then

Find the volume of a bird seed box with the following dimensions:
h = 26 cm
W = 10 cm
I = 17.5 cm

Answers

the answer is : 4,550

A race course is 26.2 miles long. Of the entire race course, 5% is uphill. How many miles of the race course are uphill?

Answers

Answer:

1.31 miles of the race course are uphill

Step-by-step explanation:

Divide 5 × 26.2 miles by 100 and you'll get 1.31 miles.

Hope this helped :)

1.31. In a calculator add the equation “26.2” then click the add button and press“5” then continue to click the percentage button!!!! Hope this helps!!!

Btw if you are using a school calculator I don’t think my you can use the percentage, so if so use the phone one

Can anyone please solve this for me right now?

Answers

The width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a×b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The length of the outer rectangle is 26+2x and width of it is 18+2x. The area of this rectangle is 884² m. Thus,

A=a×b

884=(26+2x)×(18+2x)

884=468+52x+36x+4x²

4x²+88x-416=0

Divide both side with 4,

x²+22x-104=0

x²+26x-4x-104=0

x(x+26)-4(x+26)=0

(x+26)(x-4)=0

x=-26,4

Take the positive value 4. The width of the path is equal to x which is 4 meters.

Hence, the width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

#SPJ1

Please show work and thank you

Answers

Answer:

x = 6

Step-by-step explanation:

A 45-45-90 isosceles right triangle has side lengths in the ratios ...

1 : 1 : √2

That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.

x = (√2)×3√2 = 3×2

x = 6

If cos43=p, determine.without the use of a calculator,the value of each of the following in terms of p

Answers

We need to calculate the value of cos(43) to determine the value of p

How to evaluate the expression?

The equation is given as:

cos43 = p

Rewrite properly as:

cos(43) = p

Rewrite the equation as:

p = cos(43)

The above means that we simply calculate the value of cos(43) to determine the value of p

Answers

[tex]\bold{ANSWER:}[/tex]
1.85c

[tex]\bold{SOLUTION:}[/tex]

Explain the meaning of the scale 1 :2.5

Answers

1:25 means that 1 ‘unit’ on the plan is 25 ‘units’ in real life, so 1cm= 25cm, 1ft= 25ft

Tge length of the front page is 30 centimeters and the width is 20 centimeters the side length picture is 7 centimeters

Answers

Answer:

A model of a shopping centre is drawn to scale where 1 cm on the model represent 4 m on the ground. Music shop Thabo's Sports Ware Fati's Clothing shop Grocery store PARKING Coffee shop Toilets Restaurant Shoe store Physiotherapy Health and Fitness center 1.1 Which shop is on the right of the physiotherapy? (2) 1.2 Describe the position of the Coffee Shop in relation to the Toilets. (2)

Subtract;
233.66-66.24
43.12-21.11
24.6-19.777

Answers

Answer:

1. 167.42

2. 22.01

3. 4.83

233.66-66.24 = 167.42

43.12-21.11 = 22.01

24.6-19.777 = 4.823

a line passes through the point (-9,1) and has a slope of 4/3. Write an equation in slope-intercept form for this line.

Answers

Answer: y=4/3x+1

Step-by-step explanation:

The formula is Y=mx+b

b is the y-intercept and MX is slope

Solve for in each of the following statements. ( is the smallest positive integer to make each statement true.)

5+43≡ 9

18 − 12÷3≡ 5

3+5≡0 11

Answers

There is no variable unfortunately

We have to change question little bit

5+43=9x9x=48x=48/9

Rest are also meaningless as there is no variable

(3+5)x=0.118x=0.11x=0.11/8

∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.

∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'

(x,y) → (x+5,y)

(x,y) → (5x,5y)

(x,y) → (.5x,.5y)

(x,y) → (x,-y)

(x,y) → (-x,-y)

Answers

For reference you can look at the attachment

I have taken three points (1,1),(2,1),(3,3)

Then converted them accordingly

#1(Graph 2)

Yes

#2(Blue dots on graph 1)

They are similar but not equal

#3(Purple dots)

Similar but not equal

#4(Green dots)

Yes

#5(Black dots)

Yes

If l is parallel to m in the following figure, find the measure of x

Answers

Check the picture below.

What is the length of the two equal sides?
What is the length of the third side?

Answers

Answer:

Two equal sides: 15 centimeters, Third side: 21 centimeters

Step-by-step explanation:

Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)

Can someone please solve this for me using that method thank you I give brainliest

Answers

First factor x^2+13x+36 using the AC method. Then if any individual factor on the left side of the equation is equal to zero the whole expression will equal zero. After that set x+4 equal to zero and solve for x and do the same for 9. Lastly your answer is all the values of (x+4)(x+9)=0 true.

Compare 4 and -2. Which of the following is true?

Answers

Answer:

Your answer is A.

Step-by-step explanation:

Absolute values of any number are positive.

|4| = 2

|-2| = 2

2 = 2 and 4 > -2

C and D can be true, but they are not since less than or greater than doesn't apply if they were less than/greater than or equal, then yes.

Hello, help me please with explanation)

Answers

Answer:

hope this will help you sorry if the answer is wrong

y=-x-3
y=4x-5
2x-y=-2
x+y=4
3x+4y=-12
Y'ALL I NEED SOME SERIOUS HELP, ANYBODY KNOW THE ANSWERS?

Answers

Answer: Heyaa! :)

1. y=-x-3 = -1

Slope: −1

y-intercept: (0,−3)

2. y=4x-5 = 4

Slope: 4

y-intercept: (0,−5)

3. 2x-y=-2 = 2

Slope: 2

y-intercept: (0,2)

4. x+y=4 = 1

Slope: −1

y-intercept: (0,4)

5. 3x+4y=-12 = - 3/4

Slope: −3/4

y-intercept:

(0,−3)

Hopefully this helps you!

- Matthew

A water park has pools, slides, and rides
that, in total, make use of 4.6 x 10^5
gallons of water. They plan to add a ride
that would make use of an additional
6.7 x 10^4 gallons of water. Use scientific
notation to express the total gallons of
water made use of in the park after the
new ride is installed.

Answers

Answer:

5.27×10^5 gallons

Step-by-step explanation:

Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.

4.6×10^5 +6.7×10^4

= 4.6×10^5 + 0.67×10^5

= 5.27×10^5

The park will use 5.27×10^5 gallons of water after the new ride is installed.

This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.

How do you simplify this problem?

Answers

Answer:

x/y.

Step-by-step explanation:

Deal with each number or letter at a time:

3 / 3 = 1

x^3/x^2 = x

y^4 / y^5 = y^-1 = 1/y

z / z = 1

So the answer is 1*x * 1/y * 1

= x/y.

To rationalize a denominator that has more than one term, you multiply the
fraction by B+ B, where B is the conjugate of the denominator.

Answers

Answer:

False.

Explanation:

To rationalize a denominator that has more than one term, you multiply the fraction by [tex]\frac{b}{b}[/tex], where "b" is the conjugate of the denominator not the numerator.

false

you multiply both the denominator and the numerator not just the fraction.

Determine all missing angles below.

Answers

Answer:

a = 60, b = 19, c = 101, d = 79, e = 50

Step-by-step explanation:

Relations that are helpful here are ...

vertical angles are congruentan exterior angle is equal to the sum of the opposite interior anglesthe sum of angles forming a straight angle is 180°the sum of angles in a triangle is 180°

Using these relations, we can find the unknown measures.

a° = 60° . . . . . these are vertical angles

51° +b° +110° = 180° ⇒ b° = 180° -161° = 19° . . . . straight angle

a° +b° +c° = 180°

c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle

d° = 180° -101° = 79° . . . . . straight angle

e° = c° -51° = 50° . . . . . c° is exterior to the triangle

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PLEASE HELP ASAP prove the identity: sec x sin x —————— =sin^2x tan x+cot x Options in pic

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PLEASE HELP ASAP
prove the identity:
sec x sin x
—————— =sin^2x
tan x+cot x
Options in pic