# Primes can make answers Creative @Brilliant

Geometry Level 4

The value of $2 \sin 2°+ 4 \sin 4°+ 6 \sin 6°+ ......+ 180 \sin 180°$ is $$P•Q(R°)$$, where $$P$$ and $$R$$ are integers, and $$Q$$ is a trigonometric function.

If $$Q$$ is $$\csc$$, let $$S = 2$$.
If $$Q$$ is $$\sec$$, let $$S = 3$$.
If $$Q$$ is $$\cot$$, let $$S = 5$$.

What is the value of $$( P + R) \times S$$?

Note: $$R$$ is an integer from 0 to 90.

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