(D) We know that $1 \text{ radian} \approx 57.295^\circ$.$\sin 1 \text{ rad} = \sin 57.295^\circ \approx 0.841$$\sin 2 \text{ rad} = \sin 114.591^\cir

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(D) We know that $1 \text{ radian} \approx 57.295^\circ$.$\sin 1 \text{ rad} = \sin 57.295^\circ \approx 0.841$$\sin 2 \text{ rad} = \sin 114.591^\circ = \sin(180^\circ - 114.591^\circ) = \sin 65.409^\circ \approx 0.909$$\sin 3 \text{ rad} = \sin 171.887^\circ = \sin(180^\circ - 171.887^\circ) = \sin 8.113^\circ \approx 0.141$Comparing the values: $0.141 Therefore,$\sin 3 < \sin 1 < \sin 2$.

Class 11 Mathematics Trigonometrical Ratios, Functions and Identities Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

Which of the following is correct?

A
$\sin 1 > \sin 2 > \sin 3$
B
$\sin 1 < \sin 2 < \sin 3$
C
$\sin 1 < \sin 3 < \sin 2$
D
$\sin 3 < \sin 1 < \sin 2$

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Trigonometrical Ratios, Functions and Identities

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Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

If $\theta$ lies in the first quadrant and $5 \tan \theta = 4$,then $\frac{5 \sin \theta - 3 \cos \theta}{\sin \theta + 2 \cos \theta}$ is equal to

DifficultAP EAMCET 2007

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$1+\cot ^2 30^{\circ}-\sec ^2 45^{\circ}=$

EasyAP EAMCET 2022

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Find the degree measure corresponding to the following radian measure (Use $\pi = \frac{22}{7}$): $\frac{11}{16}$ radian.

Easy

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The expression $[1 - \sin(3\pi - \alpha) + \cos(3\pi + \alpha)] [1 - \sin(\frac{3\pi}{2} - \alpha) + \cos(\frac{5\pi}{2} - \alpha)]$ when simplified reduces to:

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$\frac{1}{\sin 250^{\circ}}+\frac{\sqrt{3}}{\cos 290^{\circ}} = $

EasyTS EAMCET 2022

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If $\theta$ lies in the first quadrant and $5 \tan \theta = 4$,then $\frac{5 \sin \theta - 3 \cos \theta}{\sin \theta + 2 \cos \theta}$ is equal to

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