If $sin heta = frac{6}{7}$, $0 < heta < frac{pi}{2}$, find the exact value of each of the following. (a) $sin (2 heta)$ (b) $cos (2 heta)$ (c) $sin frac{ heta}{2}$ (d) $cos frac{ heta}{2}$
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Using the Pythagorean theorem, we found the adjacent side to be √13. sin(2θ) = 2sin(θ)cos(θ) sin(2θ) = 2 * (6/7) * (√13/7) sin(2θ) = 12√13 / 49 Show more…
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