Without using a calculator

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Without using a calculator, find: (a) sin⁡θ\sin \theta if cos⁡θ=23\cos \theta = \frac{2}{3} and 0<θ<π20 < \theta < \frac{\pi}{2} (b) cos⁡θ\cos \theta if sin⁡θ=25\sin \theta = \frac{2}{5} and π2<θ<π\frac{\pi}{2} < \theta < \pi (c) cos⁡θ\cos \theta if sin⁡θ=−35\sin \theta = -\frac{3}{5} and 3π2<θ<2π\frac{3\pi}{2} < \theta < 2\pi (d) sin⁡θ\sin \theta if cos⁡θ=−513\cos \theta = -\frac{5}{13} and π<θ<3π2\pi < \theta < \frac{3\pi}{2}

Related theory

Browse the problem library