If cot theta + tan theta = 2 csc theta,the ge | vedclass

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(C) Given: $\cot 	heta + 	an 	heta = 2 \csc 	heta$ Converting to $\sin$ and $\cos$: $\frac{\cos 	heta}{\sin 	heta} + \frac{\sin 	heta}{\cos 	h

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$2n\pi \pm \frac{\pi}{3}$

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(C) Given: $\cot 	heta + 	an 	heta = 2 \csc 	heta$ Converting to $\sin$ and $\cos$: $\frac{\cos 	heta}{\sin 	heta} + \frac{\sin 	heta}{\cos 	heta} = \frac{2}{\sin 	heta}$ Simplify the left side: $\frac{\cos^2 	heta + \sin^2 	heta}{\sin 	heta \cos 	heta} = \frac{2}{\sin 	heta}$ Since $\cos^2 	heta + \sin^2 	heta = 1$: $\frac{1}{\sin 	heta \cos 	heta} = \frac{2}{\sin 	heta}$ Assuming $\sin 	heta 
eq 0$,we can cancel $\sin 	heta$ from both sides: $\frac{1}{\cos 	heta} = 2$ $\cos 	heta = \frac{1}{2}$ The general solution for $\cos 	heta = \cos \alpha$ is $	heta = 2n\pi \pm \alpha$. Since $\cos 	heta = \frac{1}{2} = \cos(\frac{\pi}{3})$,the general value is $	heta = 2n\pi \pm \frac{\pi}{3}$.

If $\cot \theta + \tan \theta = 2 \csc \theta$,the general value of $\theta$ is

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