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Multiple Choice Questions
1. $$2 - (cosA + sinA)^2$$ is equal to
(A): $$(cosecA - sinA)^2$$
(B): cosA - sinA
(C): cosecA - sinA
(D): $$(cosA - sinA)^2$$
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By: anil on 05 May 2019 02.11 am
Expression : $$2 - (cosA + sinA)^2$$ = $$2 - (cos^2A + sin^2A + 2sinAcosA)$$ Using, $$(cos^2A + sin^2A = 1)$$ ----------(i) = $$2 - (1 + 2sinAcosA)$$ = $$1 - 2sinAcosA$$ Again using equation (i), we get : = $$cos^2A + sin^2A - 2sinAcosA$$ = $$(cosA - sinA)^2$$ => Ans - (D)
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SSC CHSL 29 Jan 2017 Morning Shift
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