Question

If 15 cotA=8 ,evulate ( 1-sinA ) ( 2+2sinA ) ÷ (2-2 cosA ) ( 1+cosA )​

Answer 1

given 15 cotA=8,

cotA = 8/15

w.k.t, cotA=cosA /sinA

so;cosA =8,sinA =15

(1-sinA) (2+2sinA) ÷ (2-2cosA) (1+cosA)

(1-15) (2+2 (15)) ÷ (2-2 (8)) (1+8)

(-14) (2+30) ÷ (2-16) (9)

(-14)(32) ÷ (-14)(9)

-14 will be cancelled on both sides

=(32) ÷ (9)

hence the answer will be 32÷9.