Question

Express cos theta in terms of cot theta

Answer 1

Answer:

cot theta= cos theta/sin theta

(by bringing sin theta to the other side)

cos theta=cot theta x sin theta

Answer 2

Step-by-step explanation:

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We know that :

1 + (cotθ)² = cosec²θ

So,

1 + (cotθ)²= 1/(sinθ)²

= 1/√(1-cos²θ)

1/[1 + (cotθ)²]² = (1- cos²θ)

cos²θ = 1- 1/[1 + (cotθ)²]²

cosθ = √[1- 1/{1 + (cotθ)²}²]