prove that cosecA (1-cosA) (cosecA+cotA)=1
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Answer:
LHS=RHS
Step-by-step explanation:
LHS=1/sinA(1-cosA)*(1/sinA+cosA /sinA)
=(1/sinA-cosA/sinA)*(1+cosA)/sinA
=(1-cosA)/sinA*(1+cosA)/sinA
=1-(cos A*cosA)/(sinA*sinA)
=(sinA*sinA)/(sinA*sinA)
=1=RHS
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