iCoachMath.com: Examples on Angle Measures - Trigonometric Functions and Graphs

Curriculum: Alaska Math Grade Level Expectations Click to change Curriculum

Topic: Trigonometric Functions and Graphs Click to change Topic

Lesson: M.A.3, C.1, 3: Angle Measures Click to change Lesson

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e Convert the angle 19.28^o to degrees, minutes and seconds to the nearest second.
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e Convert the angle 96.245^o to degrees, minutes and seconds to the nearest second. e

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e Convert the angle 16^o 40′ 50′′ to decimal degrees, to the nearest tenth. e

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e Write the degree measure of an angle with 19 clockwise revolution in standard position. e

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e Convert 240^o to radian measure.
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e What is the measure of the resulting angle in radians after 412 clockwise revolutions from the terminal side of the angle 23π in standard position? e

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e On which axis does the terminal side of an angle of 14π radians lie?
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e In which quadrant does the terminal side of an angle of 114π radians lie?
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e In which quadrant does the terminal side of the angle 409^o lie? e

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e In which quadrant does the terminal side of the angle - 106^o lie? e

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e In which quadrant does the terminal side of an angle of 110π radians lie? e

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e In which quadrant does the terminal side of the angle 112^o lie?
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e On which axis does the terminal side of the angle 360^o lie?
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e On which axis does the terminal side of the angle 900^o lie?
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e On which axis does the terminal side of the angle - 1260^o lie?
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e Convert 1170^o to radian measure.
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e Convert - 1710^o to radian measure. e

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e Convert 45π radians to degree measure. e

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e Convert - 52π radians to degree measure.
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e Convert the angle 381^o 40′ 20′′ to a decimal degree.
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e Sketch the angle with 58 counterclockwise revolution in standard position. e

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e Write the degree measure of an angle with 565 counterclockwise revolution in standard position. e

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e Write the radian measure of an angle with 12 clockwise rotations in standard position. e

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e In the figure, find the degree measure of the terminal side, if it is rotated 3 times in counter clockwise direction. e

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e Convert the angle 20^o 15′ to radian measure.
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e A circle is divided into 2 congruent sectors and then each of it is divided into 4 congruent sectors. What is the measure of the central angle of each sector in degrees? e

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e What is the measure of the angle in radians resulting after 2 counter clockwise revolutions from the terminal side of the angle 34π in standard position? e

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e In which quadrant does the terminal side of an angle of 674π radians lie?
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e Convert the angle 152^o 20′ 40′′ to a decimal degree.
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e Write the degree measure of an angle with 465 counterclockwise revolution in standard position. e

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e Write the radian measure of an angle with 5 clockwise rotations in standard position. e

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e In the figure, find the degree measure of the terminal side, if it is rotated 6 times in counter clockwise direction. e

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e Convert 34π radians to degree measure. e

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e Convert - 54π radians to degree measure.
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e In which quadrant does the terminal side of the angle 139^o lie?
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e In which quadrant does the terminal side of the angle 404^o lie? e

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e In which quadrant does the terminal side of the angle - 105^o lie? e

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e In which quadrant does the terminal side of an angle of 113π radians lie? e

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e On which axis does the terminal side of the angle 270^o lie?
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e On which axis does the terminal side of the angle 1530^o lie?
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e On which axis does the terminal side of the angle - 450^o lie?
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e Convert 1710^o to radian measure.
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e Convert - 1350^o to radian measure. e

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e Convert the angle 30^o 25′ to radian measure.
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e What is the measure of the angle in radians resulting after 5 counter clockwise revolutions from the terminal side of the angle 45π in standard position? e

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e In which quadrant does the terminal side of an angle of - 16π radians lie?
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e Sketch the angle with 18 counterclockwise revolution in standard position. e

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