(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

$\sin 50^\circ - \sin 70^\circ + \sin 10^\circ = $

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Find the angle in radian through which a pendulum swings if its length is $75\, cm$ and the tip describes an arc of length $15\, cm$.

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If $\sin \theta = \frac{24}{25}$ and $\theta$ lies in the second quadrant,then $\sec \theta + \tan \theta = $

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In a right-angled triangle $ABC$ where $\angle C = 90^{\circ}$,$AC = BC$. If $D$ is the midpoint of $AC$,then the cotangent of $\angle DBC$ is equal to:

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Find the value of the trigonometric function $\cot \left(-\frac{15 \pi}{4}\right)$.

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$\sin 50^\circ - \sin 70^\circ + \sin 10^\circ = $

Find the angle in radian through which a pendulum swings if its length is $75\, cm$ and the tip describes an arc of length $15\, cm$.

If $\sin \theta = \frac{24}{25}$ and $\theta$ lies in the second quadrant,then $\sec \theta + \tan \theta = $

In a right-angled triangle $ABC$ where $\angle C = 90^{\circ}$,$AC = BC$. If $D$ is the midpoint of $AC$,then the cotangent of $\angle DBC$ is equal to:

Find the value of the trigonometric function $\cot \left(-\frac{15 \pi}{4}\right)$.

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