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Multiple Choice Questions
1. 1/(tanA + cotA) is equal to ?
(A): (cosecA + sinA)(secA - cosA)
(B): √[(cosecA - sinA)(secA - cosA)]
(C): √[(cosecA + sinA)(secA - cosA)]
(D): (cosecA - sinA)(secA - cosA)
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By: anil on 05 May 2019 02.10 am
Expression : 1/(tanA + cotA) = $$1 div (frac{sinA}{cosA}+frac{cosA}{sinA})$$ = $$1 div (frac{sin^2A+cos^2A}{sinAcosA})$$ = $$1 imes sinAcosA=sinAcosA$$ Multiplying and dividing by $$(sinAcosA)$$ = $$frac{sin^2Acos^2A}{sinAcosA} = (frac{cos^2A}{sinA} imes frac{sin^2A}{cosA})$$ = $$(frac{1-sin^2A}{sinA}) imes (frac{1-cos^2A}{cosA})$$ = $$(frac{1}{sinA}-sinA) imes (frac{1}{cosA}-cosA)$$ = $$(cosecA-sinA)(secA-cosA)$$ => Ans - (D)
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SSC CHSL 1 Feb 2017 Morning Shift
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