Math, asked by saimohith23, 11 months ago

Prove the identity: ( 1 + cot  - cosec  ) ( 1 + tan  + sec  ) = 2

Answers

Answered by neelrambhia03
0

Answer:

Please look at the image.

Hope this helps you.

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Answered by streetburner
1

Step-by-step explanation:

LHS

( 1 + cot θ - cosec θ) ( 1 + tanθ + secθ )

= (1/sinθ)(sinθ + cosθ - 1)*(cosθ +sinθ +1)(1/cosθ)

=[ (sinθ + cosθ)^2 - 1^2 ] *(1/sinθcosθ)

= [ (1 +2sinθcosθ -1]*(1/sinθcosθ)

= 2

= RHS

Proved

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