Which of the following is correct?


Which of the following is correct?

(a) $\sin 1^{\circ}>\sin 1$

(b) $\sin 1^{\circ}<\sin 1$

(c) $\sin 1^{\circ}=\sin 1$


(d) $\sin 1^{\circ}=\frac{\pi}{180} \sin 1$


We know that, 1 radian is approximately 57º.

Also, the value of $\sin x$ is always increasing for $0 \leq x \leq 90^{\circ}$ ( or $\sin x$ is an increasing function for $0 \leq x \leq 90^{\circ}$ ).



Or $1^{\circ}<1 \operatorname{radian}$


$\therefore \sin 1^{\circ}<\sin 1$

Hence, the correct answer is option B.


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