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Class 12 · Mathematics · Expert

The reference angle of an angle is (\frac{1}{4}) of a right angle and it lies in the second quadrant. What is the angle?

Class 12 · Mathematics · Expert

If \(\theta=\frac{m\pi}{18}\) lies on the negative (x)-axis and \(0<\theta<4\pi\) then what is the sum of possible values of (m)?

Class 12 · Mathematics · Expert

A wheel turns (11) complete revolutions and then (\frac{2\pi}{3}) radians. What is the total angle in degrees?

Class 12 · Mathematics · Expert

What is the principal angle of the fourth-quadrant ray of the line (y=-x)?

Class 12 · Mathematics · Expert

What is the principal angle of the terminal side passing through the point ((-\sqrt{3},1))?

Class 12 · Mathematics · Expert

Which angle is coterminal with \(\frac{5\pi}{8}\) and lies between \(-4\pi\) and \(-2\pi\)?

Class 12 · Mathematics · Expert

In which quadrant will the terminal side of \(\frac{31\pi}{6}\) lie?

Class 12 · Mathematics · Expert

What is the least positive coterminal angle of (-1025^\circ)?

Class 12 · Mathematics · Expert

A sector perimeter is (3) times its arc length and the radius is (8) cm. What is the central angle?

Class 12 · Mathematics · Medium

If the arc length is 15π cm and the central angle is 225°, what is the radius of the circle?

Class 12 · Mathematics · Expert

Through how many radians does the hour hand turn from (1:20) to (6:50)?

Class 12 · Mathematics · Medium

Through how many radians does the minute hand turn from 4:12 to 4:47?

Class 12 · Mathematics · Expert

The total angle is (\frac{53\pi}{12}) radians. If it consists of some complete revolutions plus an extra angle of (75^\circ) what is the number of complete revolutions?

Class 12 · Mathematics · Medium

What is the reference angle of 7π/5?

Class 12 · Mathematics · Expert

In which quadrant will the terminal side of (-1460^\circ) lie?

Class 12 · Mathematics · Expert

Convert the angle (18^\circ24') into radians.

Class 12 · Mathematics · Expert

If in radians the complement of an angle is \(\frac{1}{3}\) of its supplement then what is the angle?

Class 12 · Mathematics · Expert

An angle lies in the second quadrant and its reference angle is (18^\circ). What is the angle in radians?

Class 12 · Mathematics · Expert

If (5\theta+20^\circ) and (\theta+140^\circ) are coterminal angles then what is the least positive value of (\theta)?

Class 12 · Mathematics · Expert

If the arc length is (\frac{1}{3}) of the circumference then what is the central angle in radians?