If sin {rm{ }}left( {frac{pi }{4}cot theta } | vedclass

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Question

(a) We have $\frac{\pi }{4}\cot 	heta = \frac{\pi }{2} - \frac{\pi }{4}	an 	heta $

$ \Rightarrow 	an 	heta + \cot 	heta = 2$

$ \Rightarrow

Vedclass · Accepted Answer

$n\pi + \frac{\pi }{4}$

Vedclass · Answer

(a) We have $\frac{\pi }{4}\cot 	heta = \frac{\pi }{2} - \frac{\pi }{4}	an 	heta $

$ \Rightarrow 	an 	heta + \cot 	heta = 2$

$ \Rightarrow $ $\sin 2	heta = 1 = \sin \frac{\pi }{2} $

$\Rightarrow 	heta = n\pi + \frac{\pi }{4}$.

If $\sin {\rm{ }}\left( {\frac{\pi }{4}\cot \theta } \right) = \cos {\rm{ }}\left( {\frac{\pi }{4}\tan \theta } \right)\,\,,$ then $\theta = $

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