Cos2A+tanA = cosec2A Prove It ??

1 Answer
May 20, 2018

cosec2A.

Explanation:

Sorry Question is cot2A+tanA

cot2A+tanA,

=(cos2A)/(sin2A)+sinA/cosA,

=(cos2AcosA + sin2A sinA)/(sin2AcosA),

=(cos(2A-A))/(sin2AcosA),

We know that, cos2A cosA + sin2A sinA = cos(2A-A).

:. cot2A+tanA=cosA/(sin2AcosA),

=1/(sin2A),

=cosec2A.

Proved....