Answer:
1/8
Step-by-step explanation:

ANSWER

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,

Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
A. 14 + 2 × 5 = 14 + 10 = 24 ≠ 22
B. (14 + 2) × 5 = 16 × 5 = 80 ≠ 22
C. 24 - 6 ÷ 3 = 24 - 2 = 22
D. (24 - 6) ÷ 3 = 18 ÷ 3 = 6 ≠ 22
<h3>Answer: C.</h3>
First subtract 2 revolutions from the - 840 :- (- (840-720) = -120
This gives sin -120 which is in the 3rd quadrant of the unit circle
sin -120 = - sin 60 = - sqrt3/2