Which of the following have the same value?(a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) $(a) \sin 120^{\circ} = \sin(180^{\circ} - 60^{\circ}) = \sin 60^{\circ} = \frac{\sqrt{3}}{2}$$(b) \cos 930^{\circ} = \cos(2 	imes 360^{\circ} +

Vedclass · Accepted Answer

Only $(c)$ and $(d)$

Vedclass · Answer

(D) $(a) \sin 120^{\circ} = \sin(180^{\circ} - 60^{\circ}) = \sin 60^{\circ} = \frac{\sqrt{3}}{2}$$(b) \cos 930^{\circ} = \cos(2 	imes 360^{\circ} + 210^{\circ}) = \cos 210^{\circ} = \cos(180^{\circ} + 30^{\circ}) = -\cos 30^{\circ} = -\frac{\sqrt{3}}{2}$$(c) 	an 840^{\circ} = 	an(2 	imes 360^{\circ} + 120^{\circ}) = 	an 120^{\circ} = 	an(180^{\circ} - 60^{\circ}) = -	an 60^{\circ} = -\sqrt{3}$$(d) \cot(-1110^{\circ}) = -\cot(1110^{\circ}) = -\cot(3 	imes 360^{\circ} + 30^{\circ}) = -\cot 30^{\circ} = -\sqrt{3}$Comparing the values,$(c)$ and $(d)$ both equal $-\sqrt{3}$.

Which of the following have the same value?
$(a)$ $\sin 120^{\circ}$
$(b)$ $\cos 930^{\circ}$
$(c)$ $\tan 840^{\circ}$
$(d)$ $\cot (-1110^{\circ})$

Similar Questions

$\frac{1+\tanh \frac{x}{2}}{1-\tanh \frac{x}{2}}$ is equal to

If $\operatorname{cosec} \theta + \cot \theta = \frac{1}{3}$,then $\theta$ lies in the

If $x = \sin 130^\circ \cos 80^\circ$,$y = \sin 80^\circ \cos 130^\circ$,and $z = 1 + xy$,which one of the following is true?

Find the values of the other five trigonometric functions if $\cot x = \frac{3}{4}$ and $x$ lies in the third quadrant.

If $\tan \theta = - \frac{1}{\sqrt{10}}$ and $\theta$ lies in the fourth quadrant,then $\cos \theta = $

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Which of the following have the same value?$(a)$ $\sin 120^{\circ}$$(b)$ $\cos 930^{\circ}$$(c)$ $\tan 840^{\circ}$$(d)$ $\cot (-1110^{\circ})$