Table of Contents
How do you find the exact value of sin 240?
The value of sin 240 degrees can be calculated by constructing an angle of 240° 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 240° is equal to the y-coordinate (-0.866). ∴ sin 240° = -0.866.
What is the value of sin 240 degrees in fraction?
Trigonometric Function Values of Special Angles
| θ° | θradians | sin(θ) |
|---|---|---|
| 225° | 5π/4 | -√2/2 |
| 240° | 4π/3 | -√3/2 |
| 270° | 3π/2 | -1 |
| 300° | 5π/3 | -√3/2 |
What is the exact value of cosine 225?
-0.7071067
The value of cos 225 degrees is -0.7071067. . .. Cos 225 degrees in radians is written as cos (225° × π/180°), i.e., cos (5π/4) or cos (3.926990. . .).
What is the reference angle of 240?
60 degrees
A 240-degree angle is between 180 and 270 degrees, so its terminal side is in QIII. Do the operation indicated for that quadrant. Subtract 180 from 240. You find that 240 – 180 = 60, so the reference angle is 60 degrees.
Where is 240 on the unit circle?
#1: Memorize Common Angles and Coordinates
| Angle (Degrees) | Angle (Radians) | Coordinates of Point on Circle |
|---|---|---|
| 225° | 5 π 4 | ( − √ 2 2 , − √ 2 2 ) |
| 240° | 4 π 3 | ( − 1 2 , − √ 3 2 ) |
| 270° | 3 π 2 | (0, -1) |
| 300° | 5 π 3 | ( 1 2 , − √ 3 2 ) |
What is the reference angle for a 240 angle?
What is the exact value of cos 135?
The value of cos135 is −1√2 .
How do you find the exact value of cos315?
The value of cos 315 degrees can be calculated by constructing an angle of 315° with the x-axis, and then finding the coordinates of the corresponding point (0.7071, -0.7071) on the unit circle. The value of cos 315° is equal to the x-coordinate (0.7071). ∴ cos 315° = 0.7071.
In what quadrant is the angle 240?
The angle is in the third quadrant.