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Prove that the following statements are identities:

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Prove that the following statements are identities:

(a) \((\sin \theta+\cos \theta)^2=1+2 \sin \theta \cdot \cos \theta\)

(b) \(\dfrac{1}{\tan \theta}=\dfrac{\cos \theta}{\sin \theta}\)

(c) \(\dfrac{1}{1-\cos \theta}+\dfrac{1}{1+\cos \theta}=\dfrac{2}{\sin ^2 \theta}\)

(d) \(\tan \left(90^{\circ}-\theta\right)=\dfrac{1}{\tan \theta}\)
in Mathematics by ♦ Diamond (75,025 points) | 7 views

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