Mathematics

Mathematics

Problem

Let θ=15∘\theta=15^{\circ}. Answer the following, showing all necessary steps: a. (i) Express θ\theta in radians. b. (ii) Find the exact values of sin⁡2θ\sin 2\theta, cos⁡2θ\cos 2\theta and tan⁡2θ\tan 2\theta. c. (iii) Simplify the expression sin⁡2θ1+cos⁡2θ\dfrac{\sin 2\theta}{1+\cos 2\theta} to its simplest fractional form.

Browse the problem library