If sin(x-y) = 1  and cos(x+y) = 1 /√2  then what is measure of angle x.

Find the maximum value of (20sin A + 15cos A).

Find the maximum value of 25 sin A + 11 cos A.

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

If cos2B = sin(2B - 30°), then find the measure of 'B'.

sin10˚ x sin20˚ x sin40˚ =? 

Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ < 90°.

Given that 'θ' is an angle less than 120 ^° , what is the value of 'θ' if it satisfies the equation 3cos ² θ = 2 + sin ²