Your Turn: sin θ + sin²θ = 1

Young Math BrainsCBSE Class 10 Board Prep App
Explore Full App →
Introduction to Trigonometry

Your Turn: sin θ + sin²θ = 1

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 4

The problem

If sin⁡θ+sin⁡2θ=1,\sin\theta + \sin^2\theta = 1, prove that cos⁡12θ+3cos⁡10θ+3cos⁡8θ+cos⁡6θ+2cos⁡4θ+2cos⁡2θ−2=1.\cos^{12}\theta + 3\cos^{10}\theta + 3\cos^{8}\theta + \cos^{6}\theta + 2\cos^{4}\theta + 2\cos^{2}\theta - 2 = 1.

Step 1 · Your move

Move sin⁡2θ\sin^2\theta to the other side of the given equation. What is sin⁡θ\sin\theta in terms of cos⁡θ\cos\theta?

sin⁡θ+sin⁡2θ=1\sin\theta + \sin^2\theta = 1
Helpful?