Suppose θ is an angle between 0 and π/2 such that sin5θ=sin^5θ. The number tan2θ can be uniquely written as a√,b where a and b are positive integers, and b is not divisible by the square of a prime. What is the value of a+b?

sin^5X = (sinx)⁵ ??? Its not at all clear. if its so then question may be wrong as acc to me by opening sin (2X+3X) i get -sinx=(sinx)⁵ which cant be possible. I am not sure so please recheck my calculation or the question. :-)