In the figure above, OA = 1 and the length of minor arc AB is . What is the value of cos(∠AOB)?
Options
A
B
C
D
1
Answer & Analysis
Answer
A
Analysis
According to the given information, we know the radius of the circle is 1, the arc length equals the radian measure of ∠AOB. So we know that ∠AOB has a measure of radians. It’s probably a good idea for you to have the basic trig ratios memorized. But, if you don’t have that, you must at least recognize radians is 60°. In a 30°-60°-90°right triangle, the radio of the sides is
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