Question

If tan teta=root 3 then prove that 2-sin ^ test / 1- cos^ teta = 5/3

Answer 1

Step-by-step explanation:

tan theta = √3 , theta = 60°

= 2 - sin^2 theta / 1 - cos^2 theta

= 2 - sin^2 60° / 1 - cos^2 60°

= 2 - (√3/2)^2 ÷ 1 - (1/2)^2

= (2 - 3/4) ÷ (1 - 1/4)

= 5/4 ÷ 3/4

= 5/3

       Hence Proved..

I hope u understood the concept....