From an Identity to an Angle

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

From an Identity to an Angle

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 6sin⁡2θ+2cos⁡2θ=56\sin^2\theta + 2\cos^2\theta = 5 and θ\theta is an acute angle, find the value of tan⁡θ\tan\theta.

Step 1 · Your move

Replace cos⁡2θ\cos^2\theta using sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1. Which equation do you get?

Helpful?