(C) Given $\sin A - \sin B = 0$. This implies $\sin A = \sin B$. We know that for $A, B \in (0, \pi)$,$\sin A = \sin B$ implies either $A = B$ or $A =

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(C) Given $\sin A - \sin B = 0$. This implies $\sin A = \sin B$. We know that for $A, B \in (0, \pi)$,$\sin A = \sin B$ implies either $A = B$ or $A = \pi - B$. The condition $A = \pi - B$ is equivalent to $A + B = \pi$,which means the angles are supplementary. Since the problem states that the angles are not supplementary,we must have $A = B$.

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

Easy

If $A$ and $B$ are two angles such that $A, B \in (0, \pi)$ and they are not supplementary angles such that $\sin A - \sin B = 0$,then

MHT CET 2020 All MHT CET

A
$A - B = \frac{\pi}{3}$
B
$A - B = \frac{\pi}{2}$
C
$A = B$
D
$A \neq B$

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Class 11

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Trigonometric Functions

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Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

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If $\operatorname{cosec} \theta - \cot \theta = 2017$,then the quadrant in which $\theta$ lies is

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$\cos A + \sin (270^\circ + A) - \sin (270^\circ - A) + \cos (180^\circ + A) = $

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Find the angle in radians through which a pendulum swings if its length is $75 \, cm$ and the tip describes an arc of length $10 \, cm$.

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Find the values of the other five trigonometric functions if $\sec x = \frac{13}{5}$ and $x$ lies in the fourth quadrant.

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If $A$ and $B$ are two angles such that $A, B \in (0, \pi)$ and they are not supplementary angles such that $\sin A - \sin B = 0$,then

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