How do you find the exact value of sin 240?

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. . .).

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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.

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In what quadrant is the angle 240?

The angle is in the third quadrant.