Question

If cot theta=15/8 then evaluate

(2+2sin theta)(1-sin theta) / (2+2cos theta)(1-cos theta)

Answer 1

225/64 is your Answer.....

Answer 2

let theta = Ф

cotФ = 15/8  

from pythogoras theorem remaining one side = (15² + 8²)^1/2 = 17

= {(2 + 2×8/17)(1 - 8/17)} / {(1 + 15/17)(2 - 2×15/17)}

= (50×9)/(32×4)

= 225/64