Primes can make answers Creative @Brilliant

Geometry Level 4

The value of 2sin2°+4sin4°+6sin6°+......+180sin180° 2 \sin 2°+ 4 \sin 4°+ 6 \sin 6°+ ......+ 180 \sin 180° is PQ(R°) P•Q(R°), where PP and RR are integers, and Q Q is a trigonometric function.

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

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

Note: RR is an integer from 0 to 90.

×

Problem Loading...

Note Loading...

Set Loading...