The 5 tan θ = 4 Shortcut Challenge

Introduction to TrigonometryVideo challenge · SAV24

The 5 tan θ = 4 Shortcut Challenge

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 5tan⁡θ=45\tan\theta = 4, find the value of 5sin⁡θ−3cos⁡θ5sin⁡θ+2cos⁡θ\dfrac{5\sin\theta - 3\cos\theta}{5\sin\theta + 2\cos\theta}.

Step 1 · Your move

Before the guided steps, what value did you get?

5sin⁡θ−3cos⁡θ5sin⁡θ+2cos⁡θ,\dfrac{5\sin\theta - 3\cos\theta}{5\sin\theta + 2\cos\theta},5tan⁡θ=4\qquad 5\tan\theta = 4
Helpful?