Father of zero tillage

Find the Value of Sin⁶`Theta`  + Cos⁶`Theta`  + 3Sin² `theta` Cos²`Theta`

Find the maximum value of 18 sin A + 7 cos A.

If (5sinx - cosx) = 2√2sinx, then find the value of 'tanx'

Simplify:
8sin 27° sec 63° + 3cot 64° cot 26°

If x = r sin A cos B, y = r sin A sin B and z = r cos A, then find x² + y² + z².

The minimum value of 77 sin θ + 36cosθ is

If 4sin² θ = 3(1+ cos θ), 0° < θ < 90°, then what is the value of (2tan θ + 4sinθ - secθ)?

If sec A + tan A = 3 then the value of cot A is:

If tan A = 1 and tan B = √ 3, what is the value of cos A . cos B - sin A . sin B?