Which of the following are true for all real values of x? All arguments are given in radians. I. \sin (\pi/2+x)= \cos (\pi/2-x) II. 2+ 2sin(x) - \cos^2 (\x) ≥ 0 III. {\sin( x +{3\pi}/2)=\cos( \pi-x) } IV. sin(x)cos(x) ≤ 1/4

HCU MCA 2016 Paper

Question : 72 of 75

Marks: +1, -0

Which of the following are true for all real values of x? All arguments are given in radians.
I.

\sin (π/2+x)= \cos (π/2-x)

II. 2+ 2sin(x)

- \cos^2 (\x)

≥ 0
III.

{\sin( x +{3π}/2)=\cos( π-x) }

IV. sin(x)cos(x) ≤

1/4

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