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Prove-that-x-R-cos-x-1-sin-2-x-




Question Number 103921 by Rio Michael last updated on 18/Jul/20
Prove that ∀ x ∈ R^�  , ∣ cos x ∣ ≤ 1 − sin^2  x
ProvethatxR¯,cosx1sin2x
Answered by Worm_Tail last updated on 18/Jul/20
cosx=(√(1−sin^2 x        ))      ∣cosx∣= (√(1−sin^2 x))    ≤1−sin^2 x                   ∣cosx≤1−sin^2 x
cosx=1sin2xcosx∣=1sin2x1sin2xcosx1sin2x
Commented by Rio Michael last updated on 18/Jul/20
perfect sir thanks
perfectsirthanks

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