Mathematics

Mathematics

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}

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