Prove that:

sina+cosa+1sina+cosa−1\frac{sina+cosa+1}{sina+cosa-1} - 1+cosa−cosa1−sina+cosa\frac{1+cosa-cosa}{1-sina+cosa} =2(1+coseca)

asked by guest
on Nov 15, 2024 at 7:29 pm



You asked:

Prove or disprove that the equation sin⁡(a)+cos⁡(a)+1sin⁡(a)+cos⁡(a)−1−1+cos⁡(a)−cos⁡(a)1−sin⁡(a)+cos⁡(a)=2(1+csc⁡(a))\frac{\sin{\left(a \right)} + \cos{\left(a \right)} + 1}{\sin{\left(a \right)} + \cos{\left(a \right)} - 1} - \frac{1 + \cos{\left(a \right)} - \cos{\left(a \right)}}{1 - \sin{\left(a \right)} + \cos{\left(a \right)}} = 2 \left(1 + \csc{\left(a \right)}\right) is an identity.


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