Question

$sin \alpha + cos \alpha = \sqrt{2} cos(90 - \alpha ) \: \: find \: cot \alpha$
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Answer 1

Answer:

cos 90-theta is equal to sin theta. so sin theta will come there as the answer

Answer 2

Answer:

$sin \alpha + cos \alpha = \sqrt{2}cos(90 - \alpha )$

$sin \alpha + cos \alpha = \sqrt{2} sin \alpha$

$cos \alpha = ( \sqrt{2} - 1)sin \alpha$

$\frac{cos \alpha }{sin \alpha } = ( \sqrt{2} - 1)$

$cot \alpha = ( \sqrt{2} - 1)$

here is your answer

hope it helps you..!!!