State whether the following is true or false. | vedclass

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

Question

(A) The statement is true.The value of $\sin 	heta$ increases as $	heta$ increases in the interval $0^{\circ} \le 	heta \le 90^{\circ}$.We can obse

Vedclass · Accepted Answer

True

Vedclass · Answer

(A) The statement is true.The value of $\sin 	heta$ increases as $	heta$ increases in the interval $0^{\circ} \le 	heta \le 90^{\circ}$.We can observe this from the standard trigonometric values:$\sin 0^{\circ} = 0$$\sin 30^{\circ} = 0.5$$\sin 45^{\circ} \approx 0.707$$\sin 60^{\circ} \approx 0.866$$\sin 90^{\circ} = 1$As $	heta$ increases from $0^{\circ}$ to $90^{\circ}$,the value of $\sin 	heta$ increases from $0$ to $1$.

State whether the following is true or false. Justify your answer.
The value of $\sin \theta$ increases as $\theta$ increases.

Similar Questions

Evaluate the following:
$\sin 60^{\circ} \cos 30^{\circ} + \sin 30^{\circ} \cos 60^{\circ}$

If $0 < \theta < 90$ and $\sin \theta = \cos 30$,then $2 \tan^2 \theta - 1 = \dots$

Evaluate the following:
$\frac{\sin 30^{\circ}+\tan 45^{\circ}-\operatorname{cosec} 60^{\circ}}{\sec 30^{\circ}+\cos 60^{\circ}+\cot 45^{\circ}}$

If $\sin \theta = \frac{1}{2}$,then $\theta = \ldots \ldots \ldots \ldots$ (in $^\circ$)

$\frac{\sin 60^{\circ} + \cos 30^{\circ}}{1 + \sin 30^{\circ} + \cos 60^{\circ}} = \dots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

State whether the following is true or false. Justify your answer.The value of $\sin \theta$ increases as $\theta$ increases.