Verify the identity. Justify each step. tan (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA)

Answers

Answer 1

Answer:

The verification of the given identity i.e. an (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA) so it should be explained below.

Verification of the identity:

Since

theta = t

tan t + cot t = 1/ sin t cos t

Now

sin t / cos t + cos t / sin t = 1 / sin t cos t

So,

( sin² t + cos² t ) / sin t cos t = 1/ sin t cos t

And, finally

1/ sin t cos t = 1 / sin t cos t

Learn more about tan here: brainly.com/question/18437853

Answer 2

Answer: theta = t
tan t + cot t = 1/ sin t cos t
sin t / cos t + cos t / sin t = 1 / sin t cos t
( sin² t + cos² t ) / sin t cos t = 1/ sin t cos t
1/ sin t cos t = 1 / sin t cos t

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A.

463.01 m3

B.

147.456 m3

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36.868 m3

Answers

Answer:

Step-by-step explanation:

I hope this helped, and I got it right on the quiz the person above me was wrong:)

Write an equation of the line passing through points (3,8) and (-2,-22)

Answers

Answer:

$y=6x-10$

Step-by-step explanation:

First, we can find the slope using the two given points.

$m=(y2-y1)/(x2-x1)=(-22-8)/(-2-3)=(-30)/(-5)=6$

Then, we can use the slope we just found and one of the given points to find the y-intercept.

$y=mx+b\ny=6x+b\n8=6(3)+b\n8=18+b\nb=-10$

And we can put our equation together.

$y=6x-10$

Hope this helps!

a rainstorm produced a rainfall of 2 inches per hour how many hours would it take to get a rainfall amount of one foot

Answers

There are 12 inches in one foot. If it rains 2 inches per hour, that means it would take 6 hours to rain 12 inches, or one foot.

6 hours x 2 inches/hour = 12 inches or 1 foot

12 inches in 1 ft. 2 inches per hour. 12 divided by 2 = 6hrs.

Please help

(x) = x2. What is g(x)?