Math, asked by sumitchoudhary9998, 1 year ago

sinA/(1-cosA)=cosecA +cotA​

Answers

Answered by sahildhekial
1

Answer:

LHS=RHS. proved

Step-by-step explanation:

sinA/(1-cosA)=cosecA+cotA

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

=sinA(1+cosA)/1^2-cos^2A)

=sinA+sinAcosA/1-cos^2A

=sinA+sinAcosA/sin^2A

=sinA/sin^2A + sinAcosA/sin^2A

=1/sinA + cosA/sinA

=cosecA + cotA

=RHS. Proved

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