Which of the following is correct?

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(D) We know that $1 	ext{ radian} \approx 57.296^\circ$.$\sin(1 	ext{ rad}) = \sin(57.296^\circ)$$\sin(2 	ext{ rad}) = \sin(114.592^\circ) = \sin(1

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$\sin3 < \sin1 < \sin2$

Vedclass · Answer

(D) We know that $1 	ext{ radian} \approx 57.296^\circ$.$\sin(1 	ext{ rad}) = \sin(57.296^\circ)$$\sin(2 	ext{ rad}) = \sin(114.592^\circ) = \sin(180^\circ - 114.592^\circ) = \sin(65.408^\circ)$$\sin(3 	ext{ rad}) = \sin(171.887^\circ) = \sin(180^\circ - 171.887^\circ) = \sin(8.113^\circ)$Since the function $y = \sin x$ is increasing in the interval $[0, \pi/2]$,we compare the angles in the first quadrant:$8.113^\circ Therefore,$\sin(8.113^\circ) Thus,$\sin 3 < \sin 1 < \sin 2$.

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