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Using the unit circle, determine the value of cos(-150°).

Using the unit circle, determine the value of cos(-150°).-example-1

2 Answers

3 votes

Answer:
-(√(3))/(2)

Step-by-step explanation:

The identity we'll use is cos(-x) = cos(x) for any value of x.

So cos(-150) = cos(150).

Then locate the angle 150 on the unit circle. The terminal point is
\left(-(√(3))/(2), (1)/(2)\right)

The x coordinate of this terminal point is the value of cos(150).

User David Woodward
by
4.3k points
5 votes

Answer:

Cos(-150°)=-√3/2

Step-by-step explanation:

-150° is found at the third quadrant so the cost value at third quadrant is negative

Cos(-150°)= -cos(30)=-cos(210)

Cos(-150°)=- (√3/2)

Cos(-150°)=-√3/2

Hope it helps

User Igor Tyulkanov
by
4.8k points