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Question: Which of the following relations is correct....

Which of the following relations is correct.

A

sin⁡1<sin⁡1∘\sin 1 < \sin 1{^\circ}

B

sin⁡1>sin⁡1∘\sin 1 > \sin 1{^\circ}

C

sin⁡1=sin⁡1∘\sin 1 = \sin 1{^\circ}

D

π180sin⁡1=sin⁡1o\frac{\pi}{180}\sin{}1 = \sin{}1^{o}

Answer

sin⁡1>sin⁡1∘\sin 1 > \sin 1{^\circ}

Explanation

Solution

The true relation is sin⁡1>sin⁡1∘\sin 1 > \sin 1{^\circ}

Since value of sin⁡θ\sin\thetais increasing [0→π2]\left\lbrack 0 \rightarrow \frac{\pi}{2} \right\rbrack.