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Find exact values for and given that:
MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions
Problem Find exact values for sin θ \sin \theta sin θ and cos θ \cos \theta cos θ given that:
(a) tan θ = 2 3 \tan \theta = \frac{2}{3} tan θ = 3 2 and 0 < θ < π 2 0 < \theta < \frac{\pi}{2} 0 < θ < 2 π
(b) tan θ = − 4 3 \tan \theta = -\frac{4}{3} tan θ = − 3 4 and π 2 < θ < π \frac{\pi}{2} < \theta < \pi 2 π < θ < π
(c) tan θ = 5 3 \tan \theta = \frac{\sqrt{5}}{3} tan θ = 3 5 and π < θ < 3 π 2 \pi < \theta < \frac{3\pi}{2} π < θ < 2 3 π
(d) tan θ = − 12 5 \tan \theta = -\frac{12}{5} tan θ = − 5 12 and 3 π 2 < θ < 2 π \frac{3\pi}{2} < \theta < 2\pi 2 3 π < θ < 2 π
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