To find: value of x

Formula Used:

Given:

LHS

Therefore,

Taking tangent on both sides, we get

⇒ 62x = 16 – 8x²

⇒ 8x² + 62x – 16 = 0

⇒ 4x² + 31x – 8 = 0

⇒ 4x² + 32x – x – 8 = 0

⇒ 4x × (x + 8) – 1 × (x + 8) = 0

⇒ (4x – 1) × (x + 8) = 0

Therefore, are the required values of x.