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SinA(1+tanA)+cosA(1+cotA)= secA + cosecA . Prove …

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SinA(1+tanA)+cosA(1+cotA)= secA + cosecA . Prove it

Posted by Nakul Sharma 7 years ago

CBSE > Class 10 > Mathematics

1 answers

Anubha Jarwal Niharika 6 years, 7 months ago

=SinA (1 + sinA/cosA) + cosA (1 + cosA/sinA)
=sinA + sinA×sinA/cosA + cosA + cosA×cosA/sinA
=sinA + sin2a/cosA + cosA + cos2A/sinA
=sinA + cos2A/sinA + sin2A/cosA + cosA
=Sin2A+cos2A/sinA + sin2A+cos2A/cosA
=1/sinA + 1/cosA
=cosecA + secA
HENCE PROVED...

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CBSE > Class 10 > Mathematics