Let be an angle such that and

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let θ\theta be an angle such that sin⁡θ=35\sin\theta=\dfrac{3}{5} and cos⁡θ<0\cos\theta<0. (a) Find the exact value of cos⁡θ\cos\theta. (b) Hence calculate tan⁡θ\tan\theta in simplest form. (c) Identify the quadrant in which θ\theta lies. (d) Verify that sin⁡2θ+cos⁡2θ=1\sin^{2}\theta+\cos^{2}\theta=1 for the values obtained.

Related theory

Browse the problem library