Convert (330^\circ) into radians.
Correct answer: B
(330^\circ=\frac{330\pi}{180}=\frac{11\pi}{6}). Multiples of (30^\circ) often give denominator (6).
View question detailsMathematics
Angles
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Easy · Level 69 · trigonometric-functions,angles,conversion
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- ( \frac{7\pi}{4} ) radians
- ( \frac{11\pi}{6} ) radians
- ( \frac{5\pi}{3} ) radians
- ( \frac{3\pi}{2} ) radians
Easy · Level 69 · trigonometric-functions,angles,radian-to-degree
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- (60^\circ)
- (90^\circ)
- (150^\circ)
- (120^\circ)
Easy · Level 69 · trigonometric-functions,angles,degrees
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- \(135^\circ\)
- \(120^\circ\)
- \(150^\circ\)
- \(180^\circ\)
Easy · Level 69 · trigonometric-functions,angles,standard-conversion
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- (120^\circ)
- (150^\circ)
- (210^\circ)
- (300^\circ)
Easy · Level 69 · trigonometric-functions,angles,radian-measure
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- (150^\circ)
- (180^\circ)
- (210^\circ)
- (240^\circ)
Easy · Level 69 · trigonometric-functions,angles,radian-to-degree
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- (300^\circ)
- (240^\circ)
- (270^\circ)
- (330^\circ)
Easy · Level 69 · trigonometric-functions,angles,standard-angles
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- (300^\circ)
- (315^\circ)
- (330^\circ)
- (360^\circ)
Easy · Level 69 · trigonometric-functions,angles,coterminal
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- Complementary angles
- Supplementary angles
- Coterminal angles
- Perpendicular angles
Easy · Level 69 · trigonometric-functions,angles,coterminal-angle
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- (225^\circ)
- (315^\circ)
- (405^\circ)
- (135^\circ)
Easy · Level 69 · trigonometric-functions,angles,negative-coterminal
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- (240^\circ)
- (-240^\circ)
- (-120^\circ)
- (480^\circ)
Easy · Level 69 · trigonometric functions,angles,coterminal angles,degree measure,class 11 mathematics
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- 150^\circ
- 210^\circ
- 330^\circ
- 300^\circ
Easy · Level 69 · trigonometric-functions,angles,standard-position
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- (15^\circ)
- (30^\circ)
- (60^\circ)
- (300^\circ)
Easy · Level 69 · trigonometric functions,angles,coterminal angles,angle reduction,degrees
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- \(30^\circ\)
- \(60^\circ\)
- \(90^\circ\)
- \(150^\circ\)
Easy · Level 69 · trigonometric-functions,angles,quadrants
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- First quadrant
- Second quadrant
- Third quadrant
- Fourth quadrant
Easy · Level 69 · trigonometric-functions,angles,fourth-quadrant
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- First quadrant
- Second quadrant
- Third quadrant
- Fourth quadrant
Easy · Level 69 · trigonometric-functions,angles,first-quadrant
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- First quadrant
- Second quadrant
- Third quadrant
- Fourth quadrant
Easy · Level 69 · trigonometric-functions,angles,axis-angle
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- Positive (x)-axis
- Negative (x)-axis
- Positive (y)-axis
- Negative (y)-axis
Easy · Level 69 · trigonometric-functions,angles,terminal-side
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- Positive (y)-axis
- Negative (x)-axis
- Negative (y)-axis
- Positive (x)-axis
Easy · Level 69 · trigonometric-functions,angles,axis
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- Positive (x)-axis
- Positive (y)-axis
- Negative (x)-axis
- Negative (y)-axis
Easy · Level 69 · trigonometric-functions,angles,formula
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- ( \frac{\pi}{180^\circ} )
- ( \frac{180^\circ}{\pi} )
- ( \frac{360^\circ}{\pi} )
- ( \frac{\pi}{360^\circ} )
What will be the degree measure of ( \frac{2\pi}{3} ) radians?
Correct answer: D
( \frac{2\pi}{3}\times \frac{180^\circ}{\pi}=120^\circ). Cancel ( \pi ) first and then multiply.
View question detailsHow many degrees are \( \frac{3\pi}{4} \) radians?
Correct answer: A
\( \frac{3\pi}{4}\times \frac{180^\circ}{\pi}=135^\circ\). Simplify before multiplying.
View question detailsWhich is the degree measure of ( \frac{5\pi}{6} ) radians?
Correct answer: B
( \frac{5\pi}{6} ) radians equals (150^\circ). Count using ( \frac{\pi}{6}=30^\circ).
View question detailsConvert ( \frac{7\pi}{6} ) radians into degrees.
Correct answer: C
( \frac{7\pi}{6}\times \frac{180^\circ}{\pi}=210^\circ). Multiply by (180^\circ) while converting radians to degrees.
View question detailsWhat is obtained by converting ( \frac{5\pi}{3} ) radians into degrees?
Correct answer: A
( \frac{5\pi}{3}\times \frac{180^\circ}{\pi}=300^\circ). Counting in (60^\circ) steps helps with standard angles.
View question detailsWhat is the degree measure of ( \frac{11\pi}{6} ) radians?
Correct answer: C
( \frac{11\pi}{6} ) radians is (330^\circ). Take ( \frac{\pi}{6}=30^\circ) and multiply by (11).
View question detailsWhat type of angles can (0^\circ) and (360^\circ) be considered?
Correct answer: C
(0^\circ) and (360^\circ) have the same terminal side so they are coterminal. Look for a difference of (360^\circ).
View question detailsWhich is a positive coterminal angle of (45^\circ)?
Correct answer: C
(45^\circ+360^\circ=405^\circ) so it is coterminal. Add or subtract (360^\circ) for coterminal angles.
View question detailsWhich is a negative coterminal angle of (120^\circ)?
Correct answer: B
(120^\circ-360^\circ=-240^\circ). Subtract (360^\circ) to get a negative coterminal angle.
View question detailsWhat is the positive coterminal angle of (-30^\circ)?
Correct answer: C
Coterminal angles differ by an integral multiple of \(360^\circ\). Thus, \(-30^\circ+360^\circ=330^\circ\), so \(330^\circ\) is the positive coterminal angle. \(300^\circ\) has a different terminal side, so it is not coterminal with \(-30^\circ\). Exam tip: To obtain the least positive coterminal angle of a negative angle, add \(360^\circ\).
View question detailsWhat is the coterminal angle of (390^\circ) between (0^\circ) and (360^\circ)?
Correct answer: B
(390^\circ-360^\circ=30^\circ). Keep subtracting (360^\circ) to bring the angle into the range.
View question detailsWhat is the coterminal angle of (750^\circ) between (0^\circ) and (360^\circ)?
Correct answer: A
Coterminal angles differ by an integral multiple of \(360^\circ\). Here, \(750^\circ-2\times360^\circ=750^\circ-720^\circ=30^\circ\), so \(30^\circ\) is the required angle. \(60^\circ\) is not coterminal because \(750^\circ-60^\circ=690^\circ\), which is not a multiple of \(360^\circ\). Exam tip: subtract multiples of \(360^\circ\) to reduce an angle to the interval from \(0^\circ\) to \(360^\circ\).
View question detailsIn which quadrant does (200^\circ) lie?
Correct answer: C
(200^\circ) lies between (180^\circ) and (270^\circ) so it is in the third quadrant. Remember the standard quadrant intervals.
View question detailsIn which quadrant is (310^\circ) located?
Correct answer: D
(310^\circ) lies between (270^\circ) and (360^\circ) so it is in the fourth quadrant. Angles after (270^\circ) lie in the fourth quadrant.
View question detailsIn which quadrant is (25^\circ)?
Correct answer: A
(25^\circ) lies between (0^\circ) and (90^\circ) so it is in the first quadrant. Small positive angles often lie in the first quadrant.
View question detailsOn which axis does the angle (90^\circ) lie?
Correct answer: C
The terminal side of (90^\circ) lies on the positive (y)-axis. Do not place axis angles inside quadrants.
View question detailsOn which axis is the terminal side of (180^\circ)?
Correct answer: B
The terminal side of (180^\circ) lies on the negative (x)-axis. Treat a half turn as (180^\circ).
View question detailsOn which axis does the terminal side of (270^\circ) lie?
Correct answer: D
The terminal side of (270^\circ) lies on the negative (y)-axis. Remember successive turns of (90^\circ).
View question detailsIf an angle is (2) radians then what should be multiplied to convert it into degrees?
Correct answer: B
To convert radians to degrees multiply by ( \frac{180^\circ}{\pi} ). Remember the direction of the formula.
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