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Step-by-step explanation:
LHS
1/cosecA-cotA - 1/sinA
=sinA/1-cosA - 1/sinA
=sin²A-(1-cosA)/sinA(1-cosA)
=sin²A-1+cosA/sinA(1-cosA)
=1-cos²A-1+cosA/sinA(1-cosA)
=cosA(1-cosA)/sinA(1-cosA)
=cotA
RHS
1/sinA-1/cosecA+cotA
=1/sinA-sinA/1+cosA
=1+cosA-sin²A/sinA(1+cosA)
=1+cosA-1+cos²A/SinA (1+cosA)
=cosA(1+cosA)/sinA(1+cosA)
=cotA
LHS=RHS
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Answer:
in the LHS multiplying and dividing by cosec @ + cot@
and in rhs multiplying and dividing by cosec @- cot @ ( @ is theta)
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