Question

Answer this too, the BRAINIEST!

Answer 1

Check out the attached image below for the steps on how to do this derivation.

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Some notes:

• For line 2, I used the identity $\sec^2\theta = \tan^2\theta+1$
• For line 7, I applied the reciprocal to both sides.
• For line 8, I used the identity $\cot\theta = \frac{1}{\tan\theta}$
• For line 9, I used the identty $\cot^2\theta = \csc^2\theta - 1$ which is a rearrangement of $\cot^2\theta + 1 = \csc^2\theta$
• For lines 1 through 6, I'm isolating tan^2, so that I can later transform that into cot^2, which leads to csc^2. All of this is done through the identities mentioned above.