1. ## Trigonometry Fundamental Identities

This is a problem I have for an assignment and i am not sure on what it is trying to say.

Use fundamental identities to write the first expression in terms of the second, for any acute angle.

(a) tan θ, sin θ

(b) cos θ, cot θ

I would really appreciate a step by step solution of the two problems.

2. ## Re: Trigonometry Fundamental Identities

Originally Posted by essellak
This is a problem I have for an assignment and i am not sure on what it is trying to say.

Use fundamental identities to write the first expression in terms of the second, for any acute angle.

(a) tan θ, sin θ

(b) cos θ, cot θ

I would really appreciate a step by step solution of the two problems.
Hint: They both start from the Pythagorean Identity \displaystyle \begin{align*} \sin^2{\theta} + \cos^2{\theta} &\equiv 1 \end{align*}.

What can you divide each side by to have everything in terms of sine and tangent?

3. ## Re: Trigonometry Fundamental Identities

Originally Posted by essellak
This is a problem I have for an assignment and i am not sure on what it is trying to say.

Use fundamental identities to write the first expression in terms of the second, for any acute angle.
I assume you would understand if I asked you to explain green color is in terms of wavelength or Celsius temperature is terms of Fahrenheit temperature. Then what is it exactly about this problem (not solution) that you don't understand?

Originally Posted by essellak
I would really appreciate a step by step solution of the two problems.
This is (or at least was) not a site to provide step-by-step solutions, especially with no evidence of work on your part.