Question

prove that:-
sinA (1+tanA)+ cos A ( 1+ cot A) = sec A + cosec A​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

=sin(cosA+sina/cosA)+cos(cosA+sinA/sinA)

=sin^3+cosAsin^2A+sin^2AcosA+cos^3A/sinAcosA

=sinA+cosA-cosAsin^2A+cosAsin^2A-sinAcos^2A+sinAcos^2A/sinAcosA

=sinA+cosA/sinAcosA

=secA+cosecA

=sin^3A canbe written as sinA-sinAcos^2A

=cos^3A can be written as cosA-sin^2AcosA