Prove the identity $\frac{\cos x}{1 + \sin x} + \frac{1 + \sin x}{\cos x} = 2 \sec x$. Hence solve

Question

Prove the identity $\frac{\cos x}{1 + \sin x} + \frac{1 + \sin x}{\cos x} = 2 \sec x$. Hence solve the equation $\frac{\cos x}{1 + \sin x} + \frac{1 + \sin x}{\cos x} = \tan^2 x - 2$, for $0^\circ \le x \le 360^\circ$.

Accepted Answer

x = 70.5°, 180.0°, 289.5°

Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

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