Which state has been announced as the top-performing

Simplify the following trigonometric expression:
14 tan 25° cot 65° − 6 cos 39° sec 51°

Find the value of the given trigonometric expression:

(sin 15°cos 75° + cos²15°) × sin 30° + (cos 60°tan 45°) × sec 60°

If √3cosec 2x = 2, then the value of x:

If tan A = 1, then what will be the value of sec² A + cosec² A?

Find the value of tan(75°) using the identity for tan(A+B).

What is the value of 1/(1+tan ² θ ) + 1 / (1+cot ² θ ) = ?

If sin (2x + 50) ^o = cos (2y - 50) ^o, such that, 0^o < x + y < 90^o, then find the value of tan(x + y) .

If (sinθ+cosθ)/(sinθ-cosθ) = 2, then the value of sin⁴ θ is