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Question

Mathematics Question on measurement of angles

The approximate value of sin31\sin \, 31^{\circ} is

A

0.5

B

0.6

C

< 0.5

D

< 0.4

Answer

0.5

Explanation

Solution

We know that, sin30=12=0.5\sin\, 30^{\circ}=\frac{1}{2}=0.5
ln1st \ln 1^{\text {st }} quadrant sinx\sin \, x is increasing function
sin31>sin30\therefore \sin \, 31^{\circ}>\sin \, 30^{\circ}
sin31>0.5\Rightarrow \sin \, 31^{\circ}>0.5