What should come in place of ? in the given series based

If tanθ – cotθ = a and cosθ + sinθ = b, then (b² –1)(a² + 4) = ?

If cos⁴ B - sin⁴ B =

In a right triangle ABC, angle B = 90°. If tan A = 3/4 and the length of the hypotenuse is 25 cm, find the area of the triangle.

A 16-meter-long rope is stretched from the ground to the top of a house, forming a 30° angle with the ground. Determine the height of the house.

What is the value of cosec30° sec30°?

If (tan 8θ · tan 2θ = 1), then find the value of (tan 10θ).

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

If tan θ + cot θ = 5, find the value of tan²θ + cot²θ.