Question
Prove each of the following identities.$$\sin ^{2} \theta=\frac{1-\cos 2 \theta}{2}$$
Step 1
Step 1: We know that the double angle formula for cosine is given by: \[ \cos 2\theta = 1 - 2\sin^2\theta \] Show more…
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Identities and Formulas
Double-Angle Formulas
Prove the following identities.$$2 \cos ^{2} \frac{\theta}{2}=\frac{\sin ^{2} \theta}{1-\cos \theta}$$.
Half-Angle Formulas
Prove each of the following identities. $$\cos 2 \theta=\frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}$$
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