Question

(cosecA-cotA)²=1-cosA/1+cosA prove it?

Answer 1

Answer:

Step-by-step explanation:

(cosecA-cotA)^2=1-cosA/1+cosA

RHS= 1-cosA/1+cosA

       =(1-cosA)^2/1-cos^2 A

       =(1-cosA)^2/sin^2 A

        =(1-cosA/sinA)^2

        =(cosecA-cotA)^2=LHS-------------(proved)

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Answer 2

Answer:

L.H.S.=(cosecA-cotA)²

=(1/sinA-cosA/sinA)². [:.sinA=1/cosecA]

=(1-cosA/sinA)²

=(1-cosA)²/Sin²A

=(1-cosA)(1-cosA)/1-cos²A

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

=1-cosA/1+ CosA

=R.H.S.