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

iohanetc

iohanetc

Answered question

2021-10-28

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

Answer & Explanation

Alara Mccarthy

Alara Mccarthy

Skilled2021-10-29Added 85 answers

Since cotθ=cosθsinθ, we need to erite cosθ in terms of sinθ.
cosθ=±1sin2θ
and since cosθ is negative in Quadrant II, the negative sign applies here. Thus
cotθ=cosθsinθ=1sin2θsinθ
Result:
1sin2θsinθ

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