Question

General solution of 2cosx squared x +5sinx=4

Answer 1

Answer:

Step-by-step explanation:

2 (Cos x)^2 + 5 Sin x = 4

or, 2 [ 1 - (Sin x)^2] + 5 Sin x = 4

or, 2 - 2 (Sin x)^2 + 5 Sin x = 4

or, 2 (Sin x)^2 - 5 Sin x + 2 = 0

or, 2 (Sin x)^2 - 4 Sin x - Sin x + 2 = 0

or, 2 Sin x (Sin x - 2) - 1 (Sin x - 2) = 0

or, (Sin x - 2)(2 Sin x - 1) = 0

or, Sin x = 2 or, 2 Sin x - 1 = 0

or, x = Sin^-1 (2) or, Sin x = 1/2 = Sin π/6

or, x = π/6