If sin x + cos x = √2 sin x, then the value of sin x - cos x is:

If A lies in the first quadrant and 6 tan A = 5, then the value of 8 sin A−4 cos A / cos A+2 sin A is :

If x+  1/x = 2cosθ, then the value of x³+  1/x³ is

If sin5A = cos(2A+20°), then what is the value of A? Given that 5A is an acute angle.

If sec a + tan a = 3, find the value of sin a. 

If sec(2A + B) = 2 and cos(A + B) = (1/√2) , find the value of {sec 2B + tan (A + B) } given that 0^o < A, B < 90^o

If α means +, β means -, ɣ  means x, θ means ÷ then 30 θ 10ɣ 5α 10β20 is

If cot8A = tan(A+8˚), find the value of A? Given that 8A and A+8 are acute angles.

sin² 9 ° + sin² 10 ° + sin² 11 ° + sin² 12 ° + ……… + sin² 81 ° = ?