Question

The general solution of the equation 4 cos^2x + 6sin^2x = 5 is​

Answer 1

Answer:

cos^2 x = 1- sin^2x

so 4(1-sin^2x) + 6 sin^2x =5

4 - 4sin^2x + 6sin^2 x =5

2sin^2 x. = 1

sin^2x =1/2

we know that sin60,= 1/2

so 2x =60°

x= 30°