Question

Use trigonometric identities to transform one side of the equation into the other (0 < theta < pi/2)

csc theta tan theta = sec theta

Answer 1

I got csc theta tan theta = 1/sin theta * sin theta/cos theta = 1/cos theta = sec theta

is that correct??

Answer 2

\[\csc \theta \tan \theta = \sec \theta \]
\[\csc \theta \tan \theta = \frac{1}{\sin \theta} * \frac{\sin \theta}{\cos \theta}\]
\[= \frac{1}{\cos \theta} = \sec \theta\]

Answer 3

Yes. You are correct.

Answer 4

awesome thank you!! :) can you check this one really quick?

Answer 5

sure

Answer 6

\[\cot \theta \sin \theta = \cos \theta\]
\[\cot \theta \sin \theta = \frac{\cos \theta}{\sin \theta}*\frac{\sin \theta}{\sin \theta} = \cos \theta\]

Answer 7

is this one correct?

Answer 8

Yes! You are correct again! You are really smart!

Answer 9

I'm trying really hard! math is not my best subject lol, thank you!! :)

Answer 10

your welcome!