If cos theta = frac{15}{17},then the value of | vedclass

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(C) Given $\cos 	heta = \frac{15}{17}$.Using the identity $\sin^2 	heta = 1 - \cos^2 	heta$,we have:$\sin^2 	heta = 1 - \left(\frac{15}{17}ight)

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$4$

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(C) Given $\cos 	heta = \frac{15}{17}$.Using the identity $\sin^2 	heta = 1 - \cos^2 	heta$,we have:$\sin^2 	heta = 1 - \left(\frac{15}{17}ight)^2 = 1 - \frac{225}{289} = \frac{289 - 225}{289} = \frac{64}{289}$.Therefore,$\sin 	heta = \sqrt{\frac{64}{289}} = \frac{8}{17}$.Now,$\operatorname{cosec} 	heta = \frac{1}{\sin 	heta} = \frac{17}{8}$ and $\cot 	heta = \frac{\cos 	heta}{\sin 	heta} = \frac{15/17}{8/17} = \frac{15}{8}$.Finally,$\operatorname{cosec} 	heta + \cot 	heta = \frac{17}{8} + \frac{15}{8} = \frac{32}{8} = 4$.

If $\cos \theta = \frac{15}{17}$,then the value of $\operatorname{cosec} \theta + \cot \theta$ is .........

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