Question

if sin theta + cos theta = under root 2 cos (90 - theta) , determine the value of cot theta

Answer 1

HELLO DEAR,

LET THETA = ALPHA

$\sin( \alpha ) + \cos( \alpha ) = \sqrt{2} \cos( 90 - \alpha ) \\ \\ \sin( \alpha ) + \cos( \alpha ) = \sqrt{2} \sin( \alpha ) \\ \\ \cos( \alpha ) = \sqrt{2} \sin( \alpha ) - \sin( \alpha ) \\ \\ \cos( \alpha ) = \sin \alpha ( \sqrt{2} - 1) \\ \\ \frac{ \cos( \alpha ) }{ \sin( \alpha ) } = ( \sqrt{2} - 1) \\ \\ \cot( \alpha ) = ( \sqrt{2} - 1)$
I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Hope its clear

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