Question

Sin A + cos A = √2 sin (90- A) .
find cot A

Answer 1

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sin A +cos A =  √2  sin (90 - A)

sin A = √2 cos A - cos A

         = cos A  ( √2 - 1 )

 

cot A =  cos A/ sin A

substituting the value of sin A =cos A  ( √2 - 1 )

cot A =  cos A /cos A  ( √2 - 1 )

cot A = 1 /  ( √2 - 1 )