Verify the identity 1+sinx=cos(90-x)+ cot45

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We have to prove that 1+ sin x = cos( 90 - x) + cot 45

Let's start with cos( 90 - x) + cot 45

cos (90 - x) - cot 45

cos 45 = sin 45 = 1/sqrt 2 , cos (90 - x) = sin x

=>...

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We have to prove that 1+ sin x = cos( 90 - x) + cot 45

Let's start with cos( 90 - x) + cot 45

cos (90 - x) - cot 45

cos 45 = sin 45 = 1/sqrt 2 , cos (90 - x) = sin x

=> sin x + cot 45

=> sin x  + 1

which is the left hand side.

This proves that sin 45 + 1 = cos (90 - x) + cot 45.

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