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1. What is the value of $$(sinA-2sin^3A)/(2cos^3A-cosA)$$?
(A): cotA
(B): cosecA
(C): secA
(D): tanA
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By: anil on 05 May 2019 02.14 am
Expression : $$(sinA-2sin^3A)/(2cos^3A-cosA)$$ = $$frac{sinA}{cosA} imes frac{1-2sin^2A}{2cos^2A-1}$$ $$ecause$$ $$(sin^2A+cos^2A=1)$$ = $$tanA imes frac{(sin^2A+cos^2A)-2sin^2A}{2cos^2A-(sin^2A+cos^2A)}$$ = $$tanA imes frac{cos^2A-sin^2A}{cos^2A-sin^2A}$$ = $$tanA imes 1 = tanA$$ => Ans - (D)
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SSC CHSl 19 Jan 2017 Evening Shift
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