What is the Coterminal angle of 10pi 3?
What is the Coterminal angle of 10pi 3?
Trigonometry Examples Find an angle that is positive, less than 2π , and coterminal with 10π3 10 π 3 . Subtract 2π 2 π from 10π3 10 π 3 . The resulting angle of 4π3 4 π 3 is positive, less than 2π 2 π , and coterminal with 10π3 10 π 3 . Since the angle π is in the third quadrant, subtract π from 4π3 4 π 3 .
What is the value of cos 4 pi by 3?
Trigonometric Function Values of Special Angles
| θ° | θradians | cos(θ) |
|---|---|---|
| 240° | 4π/3 | -1/2 |
| 270° | 3π/2 | 0 |
| 300° | 5π/3 | 1/2 |
| 315° | 7π/4 | √2/2 |
How do you solve Cos 3pi?
The value of cos 3pi can be calculated by constructing an angle of 3π radians with the x-axis, and then finding the coordinates of the corresponding point (-1, 0) on the unit circle. The value of cos 3pi is equal to the x-coordinate (-1). ∴ cos 3pi = -1.
How many degrees is 10pi?
Explanation: π equals 180 degrees. π10 is 18010 degrees. In other words, π10 equals to 18 degrees.
How do you find Coterminal?
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
What is cos 4pi 3 on the unit circle?
How do you find the exact value of 4pi 3?
The value of sin 4pi/3 can be calculated by constructing an angle of 4π/3 radians with the x-axis, and then finding the coordinates of the corresponding point (-0.5, -0.866) on the unit circle. The value of sin 4pi/3 is equal to the y-coordinate (-0.866). ∴ sin 4pi/3 = -0.866.
How do you find the exact value of cos 3pi 2?
The value of cos 3pi/2 can be calculated by constructing an angle of 3π/2 radians with the x-axis, and then finding the coordinates of the corresponding point (0, -1) on the unit circle. The value of cos 3pi/2 is equal to the x-coordinate (0). ∴ cos 3pi/2 = 0.
What is the exact value of cos 3pi 2?
Since α=32π , than the point has the coordinates (0,−1) , and so cos(32π)=0 .
How do you find 7pi 3?
Tan 7pi/3 Using Unit Circle Rotate ‘r’ anticlockwise to form pi/3 or 7pi/3 angle with the positive x-axis. The tan of 7pi/3 equals the y-coordinate(0.866) divided by the x-coordinate(0.5) of the point of intersection (0.5, 0.866) of unit circle and r.
What is the degree measure of 7π 3?
Thus, when (7π/3) radians are converted to degrees, it changes to 420°. Therefore, it’s degree measure is 420°.
