Question

If sinθ= 1,then find the value of (2cot2 θ+2) 3

Answer 1

here I've assumed theta as alpha

${ \sin^{2}(\alpha ) } + { \cos^{2}( \alpha ) } = 1 \\ {1}^{2} + { \cos ^{2} ( \alpha ) } = 1 \\ { \cos( \alpha ) }^{2} = 1 - 1 \\ { \cos ^{2} ( \alpha ) } = 0 \\ \cos( \alpha ) = 0 \\ \\ \cot( \alpha ) = \frac{ \cos( \alpha ) }{ \sin( \alpha ) } \\ { \cot( \alpha ) } = \frac{0}{1 } \\ \cot( \alpha ) = 0$

2(0)2+3
=3

Answer 2

Hope it helps..
Best of luck Buddy:))