Question:

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

Updated On: Apr 26, 2024
  • > 0.5
  • > 0.6
  • < 0.5
  • < 0.4
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The Correct Option is A

Solution and Explanation

We know that, $\sin\, 30^{\circ}=\frac{1}{2}=0.5$
$\ln 1^{\text {st }}$ quadrant $\sin \, x$ is increasing function
$\therefore \sin \, 31^{\circ}>\sin \, 30^{\circ}$
$\Rightarrow \sin \, 31^{\circ}>0.5$
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Concepts Used:

Measurement of Angles

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Let's consider a circle of radius one unit. Also, the arc of the circle is one unit. The measure of the angle is 1 radian if the arc subtends at the center of the circle, given the radius and arc lengths are equal. The arc length of a circle with radius unity is equivalent to the angle in radian.

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