What is the coordinate point at 135° on the unit circle?
Options
A
B
C
D
Answer & Analysis
Answer
B
Analysis
To determine the coordinate point at on the unit circle, we can use the trigonometric functions sine and cosine. In this case, the angle is measured counterclockwise from the positive -axis.
The correct answer is .
Let's consider the unit circle. At , the reference angle is (). The reference angle of corresponds to the -- triangle in which the two legs have equal length and the hypotenuse has a length of .
Since the hypotenuse of the triangle is , we can use the Pythagorean theorem to find the lengths of the legs. Let's call the length of each leg
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