Triple Cosine to Triple Sine

Geometry Level 4

cosθ+cos2θ+cos3θ=1\cos\theta + \cos^{2}\theta + \cos^{3}\theta = 1

Given the above trigonometric equation. And if the trigonometric equation below is also true for constants a,b,ca,b,c. Find the value of a+b+ca+b+c.

sin6θ=a+bsin2θ+csin4θ \sin^{6}\theta = a + b\sin^{2}\theta + c\sin^{4}\theta

This problem is part of the set Trigonometry.


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