Question

cos²α+1/(1+cot²α) = 1
prove the following

Answer 1

Hi ,

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We know the Trigonometric

identities:

1 ) 1 + cot² A = cosec² A

2 ) cos² A + sin² A = 1

and

1/cosecA = sinA

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Here I'm using A instead of Alfa .

LHS = cos² A + 1/( 1 + cot² A )

= cos²A + 1/cosec² A

= cos² A + sin²A

= 1

= RHS

Hence proved.

I hope this helps you.

: )