Precalculus Archive: Questions from December 14, 2022
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Establish the identity: \( \sec \theta-\cos \theta=\sin \theta \tan \theta \) A. \[ \sec \theta-\cos \theta=\frac{1}{\sin \theta}-\cos \theta=-\frac{\cos ^{2} \theta}{\sin \theta}=-\cos \theta \cdot \2 answers -
Verify the identity. (Simplify at each step.) \[ \left.\begin{array}{rl} 3 \cos (x+y) \cos (x-y)=3 \cos ^{2}(x)-3 \sin ^{2}(y) \\ 3 \cos (x+y) \cos (x-y) & =3(\cos (x) \cos (y)-( \\ & =3 \cos ^{2}(x)2 answers -
Differentiate the function \( y=\ln \left(8 x^{2}-3 x+7\right) \) \[ y^{\prime}=\frac{16 x-3}{8 x^{2}-3 x+7} \]2 answers -
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PLEASE SHOW THE WORK TO SOLVE
Find the exact value of \( \sin \left(\frac{\pi}{3}\right) \). \[ \sin \left(\frac{\pi}{3}\right)= \]2 answers