What is/are the mode(s) of action of trichromes for

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

If  tan 12θ x tan 6θ = 1 then the value of tan 9θ is

If (3cos A - sin A) = 2 cos (90° - A), then find the value of cot A.

If cos² x + sin x = 5/4, then find the value of 'sin x'.

If asinx +b cosx = c then find the value of acosx - bsinx =?

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) .

Simplify the following trigonometric expression: 12 cos 68° cosec 22° - 3 cot 72° cot 18°