Suppose θ is an angle strictly between
0 and
π
2
such that
sin5θ=sin
5θ. The number
tan2θ can be uniquely
written as ab
√, 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?
such that sin 5Ø = sin 5Ø ???
true for all Ø
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