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Verify the identity. Justify each step.

ThaRueRue  May 2, 2017
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sec θ  /  [ csc  θ  - cot  θ ]    -   sec  θ / [ csc  θ + cot  θ]       get a common denominator

 

[ sec  θ (csc  θ + cot  θ)  - sec  θ ( csc  θ - cot  θ ]  /  [  csc^2  θ - cot^2 θ ]

 

[ 2sec  θ cot  θ ]  / 1 

 

[ 2  ( 1 / cos θ) (cos θ / sin  θ) ]  

 

[ 2 /  sin  θ ]

 

2 csc  θ          and this  =  the right side

 

 

 

cool cool cool

CPhill  May 2, 2017

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