Trigonometric Identities Question 117

Question: Which of the following relations is correct

[WB JEE 1991]

Options:

A) $ \sin 1<\sin 1{}^\circ $

B) $ \sin 1>\sin 1{}^\circ $

C) $ \sin 1=\sin 1{}^\circ $

D) $ \frac{\pi }{180}\sin ,1,=\sin ,1^{o} $

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Answer:

Correct Answer: B

Solution:

The true relation is $ \sin 1>\sin 1{}^\circ $ Since value of $ \sin \theta $ is increasing $ [ 0\to \frac{\pi }{2} ] $ .