Question

If tan x = (2t * (t + 1))/(2t + 1) find sinx and cosx​

Answer 1

Correct option is

D

1

sinx=1+t22t 

Differentiate both sides w.r.t. t

cosxdtdx=(1+t2)2(1+t2)(2)−2t(0+2t)

cosxdtdx=(1+t2)22+2t2−4t2

cosxdtdx=(1+t2)22−2t2

dtdx=(1+t2)22(1−t2)×(1+t2)2−4t21+t