Question

(vii) 2 sin^2x + sin^2 2x = 2
solve the equation and write general solutions​

Answer 1

Step-by-step explanation:

sin^2 2x = (sin 2x)^2 = (2sinxcosx)^2 = 4 sin^2 x cos^2 x

4 sin^2 x cos^2 x = 2 - 2 sin^2 x

= 2(1 - sin^2 x)

= 2 cos^2 x

4 sin^2 x cos^2 x = 2 cos^2 x

2 sin^2 x = 1

sin^2 x = 1/2

sin x = 1/ root 2

x= 45 degrees