If sin theta + {rm{cosec}}theta = 2, the valu | vedclass

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Question

(d) We have, $\sin 	heta + {m{cosec}}	heta = 2$

$ \Rightarrow $${\sin ^2}	heta + 1 = 2\sin 	heta $ 

$ \Rightarrow $${\sin ^2}	heta -

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(d) We have, $\sin 	heta + {m{cosec}}	heta = 2$

$ \Rightarrow $${\sin ^2}	heta + 1 = 2\sin 	heta $ 

$ \Rightarrow $${\sin ^2}	heta - 2\sin 	heta + 1 = 0$ 

$ \Rightarrow $${(\sin 	heta - 1)^2} = 0$

$\Rightarrow \sin 	heta = 1$ Required value of 

${\sin ^{10}}	heta + {m{cose}}{{m{c}}^{10}}	heta = {(1)^{10}} + \frac{1}{{{{(1)}^{10}}}} = 2$.

If $\sin \theta + {\rm{cosec}}\theta = 2,$ the value of ${\sin ^{10}}\theta + {\rm{cose}}{{\rm{c}}^{10}}\theta $ is

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