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alex41 [277]
3 years ago
8

Find the exact value. cos150°

Mathematics
2 answers:
Aloiza [94]3 years ago
8 0

ANSWER

\cos(150 \degree)  =    -  \frac{ \sqrt{3} }{2}

EXPLANATION

We want to find the exact value of cos(150°).

150° makes an angle of 30° with the positive direction of the x-axis and it is also in the second quadrant.

The cosine ratio is negative in the second quadrant.

Using the unit circle,

\cos(150 \degree)  =  - \cos(30 \degree) =   -  \frac{ \sqrt{3} }{2}

Sav [38]3 years ago
7 0

Answer:

-√3/2

Step-by-step explanation:

Cos 150° can also be rewritten as shown;

Cos 150° = cos(90°+60°)

According to trigonometry identity

Cos(A+B) = cosAcosB - sinAsinB

Therefore;

Cos(90°+60°) = cos90cos60-sin90sin60

Cos(90°+60°) = 0(1/2) - 1(√3/2)

Cos(90°+60°) = 0-√3/2

Cos(90°+60°) = -√3/2

Cos 150° = -√3/2

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