Coterminal Angles: 동영상 및 연습문제

Given the angle 408°, identify a positive angle that is coterminal with it and smaller than 360°.

Given the angle - 167°, identify a positive angle that is coterminal with it and smaller than 360 °.

Given the angle 19π/5, identify a positive angle that is coterminal with it and smaller than 2 π radians.

Determine two angles, between -2π and 2π, where the terminal side of each angle passes through the origin and point X. Express your answer in radians.

Determine the least positive angle that is coterminal with the given angle.

-583°

Which of the following set of positive and negative angles is coterminal with 180°?

a) 540° and -180°

b) 360° and -180°

c) 540° and -360°

d) 360° and -360°

Which of the following set of positive and negative angles is coterminal with 270°?

a) 630° and -90°

b) 450° and -90°

c) 90° and -90°

d) 630° and -450°

Write the general expression which can find all the coterminal angles with the given angle.

159°

Plot the given angle in the standard position and represent the rotations using an arrow. State the quadrant of the angle. Also, find a positive and a negative coterminal angle with the given angle.

240°

Plot the given angle in the standard position and represent the rotations using an arrow. State the quadrant of the angle. Also, find a positive and a negative coterminal angle with the given angle. 

270°

Given the angle - 805°, identify a positive angle that is coterminal with it and smaller than 360 °.

Given the angle 29π/6, identify a positive angle that is coterminal with it and smaller than 2 π radians.

Given the angle - 30π/7, identify a positive coterminal angle less than 2π.

Which of the following definitions best describes coterminal angles?

What is a positive coterminal angle for -45 degrees?

What is the coterminal angle of 390 degrees?

Analyze and determine a coterminal angle for -270 degrees.

What is a coterminal angle for 1000 degrees?

Which of the following statements is true about coterminal angles?

Why do coterminal angles share the same position on the unit circle?

What is the importance of converting angles into a range of 0 to 360 degrees?

Given an angle of 750 degrees, synthesize a method to find its coterminal angle graphically and algebraically.

Determine the coterminal angle of $-{810}^{\circ }$ that lies in .

Find the positive integer $n$ such that ${58}^{\circ }\text{ and }(58+360n{)}^{\circ }$ and the second angle equals ${1498}^{\circ }$.

An angle is measured as ${2145}^{\circ }$. Find its coterminal angle in .

If $\theta =-{95}^{\circ }$, find the smallest positive coterminal angle greater than ${720}^{\circ }$.

A clockwise rotation of ${300}^{\circ }$ is coterminal with what positive angle in ?

Find the value of $k$ if ${17}^{\circ }\text{ and }(k-703{)}^{\circ }$, where .

Compute $\sin {765}^{\circ }$.

Find $\tan -{1125}^{\circ }$.