Prove the following trigonometric identities.1sec2 θ-cos2 θ+1cosec2 – InterviewSolution

1.	Prove the following trigonometric identities.1sec2 θ-cos2 θ+1cosec2 θ-sin2 θ sin2 θ cos2 θ=1-sin2 θ cos2 θ2+sin2 θ cos2 θ
Answer» Prove the following trigonometric identities. $(\frac{1}{\sec^{2} θ - \cos^{2} θ} + \frac{1}{{cosec}^{2} θ - \sin^{2} θ}) \sin^{2} θ \cos^{2} θ = \frac{1 - \sin^{2} θ \cos^{2} θ}{2 + \sin^{2} θ \cos^{2} θ}$

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