Wyatt Elliott
06/19/2024 · Junior High School
Simplify the following to a single trigonometric function, without the use of a calculator. \( \frac{\cos \left(90^{\circ}-\alpha\right) \sin \left(-\alpha-540^{\circ}\right)}{\tan 225^{\circ}+\sin \alpha \cdot \sin \left(180^{\circ}+\alpha\right)} \) Siven: \( 1-\cos \theta=2 \sin ^{2} \theta \) 5.4.1 Show that the equation can be written as: \( (2 \cos \theta+1)(\cos \theta-1)=0 \).
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The simplified expression is \(-\tan^2 \alpha\). The equation \(1 - \cos \theta = 2 \sin^2 \theta\) can be rewritten as \((2 \cos \theta + 1)(\cos \theta - 1) = 0\).
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