Question

if 4 cos² teta -1 =0find the acute angle teta hence find the value of 2 tan teta /1-tan² teta​

Answer 1

Ans : 4cos^2 theta - 1 = 0

cos^2 teta = 1/4

cos teta = root of 1/4

cos teta = 1/2

cos teta = cos 60°

Therefore, teta = 60°

Now,

2 tan teta / 1- tan^2 teta= 2 tan 60°/ sec^2

teta

= 2 ( root 3)/ 2^2

= 2root 3/4

= root 3/2

Hope it will helps you