Q 17. Prove that:
(cosec A sin A) (sec A -
cos A) (tan A + cot A) = 1
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Step-by-step explanation:
solving RHS
(cosecA sinA) (secA-cosA) (tanA+cotA)
hence we know
cosec=1/sin
sec=1/cos
cot=1/tan
now
=(1/sinA*sinA)(1/cosA-cosA) (tanA+1/tanA)
=(1)(1-cos^2A/cos)(tan^2A+1/tanA)
=(sin^2A/cosA)(sec^2A/tanA)
=on solving
=sinA/sinA
=1
hence LHS=RHS
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