Question

If Sin 4x = Cos 5x, then the value of x = is _________​

Answer 1

Answer:x={ - (2nπ-π/2) ÷ (4±5) }

Step-by-step explanation:

Sin 4x = Cos 5x

cos (π/2-4x)=cos 5x

then, (π/2-4x)=2nπ±5x

(π/2-4x)±5x=2nπ

-4x±5x=2nπ-π/2

x=(2nπ-π/2) ÷ (-4±5)

x={ - (2nπ-π/2) ÷ (4±5) }