Which of the following is true?

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

Question

(A) To compare the values,we convert the angles to the first quadrant.$sin\ 95^{\circ} = sin(180^{\circ} - 95^{\circ}) = sin\ 85^{\circ}$.Now we compa

Vedclass · Accepted Answer

$sin\ 95^{\circ} > sin\ 63^{\circ} > sin\ 1^{\circ}$

Vedclass · Answer

(A) To compare the values,we convert the angles to the first quadrant.$sin\ 95^{\circ} = sin(180^{\circ} - 95^{\circ}) = sin\ 85^{\circ}$.Now we compare $sin\ 85^{\circ}$,$sin\ 63^{\circ}$,and $sin\ 1^{\circ}$.Since the sine function is strictly increasing in the interval $[0^{\circ}, 90^{\circ}]$,we have $sin\ 85^{\circ} > sin\ 63^{\circ} > sin\ 1^{\circ}$.Therefore,$sin\ 95^{\circ} > sin\ 63^{\circ} > sin\ 1^{\circ}$.

Similar Questions

$\frac{{\sin \theta }}{{1 - \cot \theta }} + \frac{{\cos \theta }}{{1 - \tan \theta }} = $

The value of $\sin 47^\circ + \sin 61^\circ - \sin 11^\circ - \sin 25^\circ = $

If $\tan \frac{A}{2} = \frac{3}{2},$ then $\frac{1 + \cos A}{1 - \cos A} = $

$\sin 15^\circ + \cos 105^\circ = $

The value of $\frac{\sin ^{3} A+\cos ^{3} A}{\sin A+\cos A}+\frac{\cos ^{3} A-\sin ^{3} A}{\cos A-\sin A}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module