What is cos^theta in terms of sintheta?

Henry Glover

Henry Glover

Answered question

2023-01-08

What is cosθ in terms of sinθ?

Answer & Explanation

Dayton Wilkins

Dayton Wilkins

Beginner2023-01-09Added 5 answers

We have cos2θ+sin2θ=1 regardless of which quadrant θ is in. Hence we have:
cosθ=±1sin2θ
If θ is in Q1 or Q4 then cosθ0, hence:
cosθ=1sin2θ
If θ is in Q2 or Q3 then cosθ0, hence:
cosθ=1sin2θ

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