Question

If cot theta = 7/8 evaluate (1+sin theta )(1-sin theta )/( 1- cos theta)(1+cos theta)

Answer 1

Answer:

49/64.

Step-by-step explanation:

Given Cot θ = 7/8

Now ,

(1 + sin θ)(1 - sinθ)/( 1 - cos θ)(1 + cos θ)

= 1 - Sin²θ / 1 - Cos²θ      (∵ (a + b) (a-b) = a² - b²)

= Cos² θ/Sin²θ     ( ∵ Sin²θ + Cos²θ = 1)

= Cot²θ

= (7/8)²

= 49/64.

Answer 2

Answer:

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