Math, asked by ADAMSHARIEFF, 1 year ago

1÷sinA+cosA+1÷sinA-cosA=2sinA÷1-2cos^2A

Answers

Answered by Anonymous
30
Hey friend (^_^)

Here is your answer

LHS :

=(1/sinA+cosA)+(1/sinA-cosA)

TAKING LCM

=(sinA-cosA+sinA+cosA)/(sin²A-cos²A)

[Using sin²A=1-cos²A]

=2sinA/(1-cos²A-cos²A)

=2sinA/(1-2cos²A)

=RHS

HENCE PROVED

HOPE THIS HELPS YOU
Answered by Anonymous
4

Answer:Hey friend (^_^)

Here is your answer

LHS :

=(1/sinA+cosA)+(1/sinA-cosA)

TAKING LCM

=(sinA-cosA+sinA+cosA)/(sin²A-cos²A)

[Using sin²A=1-cos²A]

=2sinA/(1-cos²A-cos²A)

=2sinA/(1-2cos²A)

=RHS

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