Question

If tan theta =8/15,then evaluate (1+sin theta)(2-2sin theta)/(2+2cos theta)(1-cod theta)

Answer 1

Answer:

13500

Step-by-step explanation:

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Answer 2

Answer = 225/64

Step-by-step explanation:

given data-

tan = 8/15

evaluation

(1+sinθ) (2-2sinθ) / (2+2cosθ) (1-cosθ)

= 2 (1+sinθ) (1-sinθ) / 2 (1+cosθ) (1-cosθ)

----- (a+b)(a-b) = (a²-b²) -----

= (1²-sin²θ) / (1²-cos²θ)

= (cos²θ / sin²θ)

= (cosθ / sinθ)²

= cot²θ

= (1/tanθ)²

= (15/8)²

= 225/64

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