Write the first trigonometric function in terms of the second for \theta i

banganX

banganX

Answered question

2021-10-28

Write the first trigonometric function in terms of the second for θ in the given quadrant
tanθ, cosθ; θ  in Quadrant II

Answer & Explanation

i1ziZ

i1ziZ

Skilled2021-10-29Added 92 answers

Since tanθ=sinθcosθ, we need to write sinθ in terms of cosθ.
sinθ=±1cos2θ
and since sinθ is negative in Quadrant III, the negative sign applies here. Thus
tanθ=sinθcosθ=1cos2θcosθ
Result: 1cos2θcosθ

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?