Use the unit circle to find the six trigonometric functions of 240°.
A)
B)
C)
D)

Name: Use the unit circle to find the six trigonometric functions of 240°. A) B) C) D)
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Question

Use the unit circle to find the six trigonometric functions of 240°. ​
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

240° is in the third quadrant of the unit circle, so the reference angle is 60° (180°-120°).

Sin(240°) = -Sin(60°) = -√3/2
Cos(240°) = -Cos(60°) = -1/2
Tan(240°) = -Tan(60°) = -√3/3

Csc(240°) = -Csc(60°) = -2/√3
Sec(240°) = -Sec(60°) = -2
Cot(240°) = -Cot(60°) = -√3

Use the Unit Circle to Find the Six Trigonometric Functions