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.
Calculate the value of sec75o
If cosec (2A + B) = 1 and cosec (A + B) = (2/√3), find the value of (4A – B).
- Determine the value of :

If 2x = cosec @ and 4/x = cot @ then the value of 2(x ² - 1/x ² ) is
If x = 4 cos A + 5 sin A snd y = 4 sin A – 5 cos A, then the value of x2+y2 is :
Find the value of the given trigonometric expression:
(sin 10°cos 80° + cos²10°) × sin 30° + (cos 60°tan 45°) × sec 60°
...If 'θ' is an angle less than 120°, what is the value of 'θ' if it satisfies the equation 3cos2θ = 2 + sin2θ.
...Find the value of `1/2`  cosec 10  - `2/(cosec 70)`  ?
- If sin(A + B) = sinAcosB + cosAsinB, then the value of sin75° is