Let the set of all a∈R such that the equation cos2x+asinx=2a-7 has a solution be [p, q] and r=tan9°-tan27°-1cot63°+tan81°, then pqr is equal to ________.

Question

Let the set of all

a \in R

such that the equation

\cos 2 x + a \sin x = 2 a - 7

has a solution be

[p, q]

and

r = \tan 9 ° - \tan 27 ° - \frac{1}{\cot 63 °} + \tan 81 °

, then

p q r

is equal to ________.

Correct Answer

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