Given the point (6, 3) on the terminal side of the angle θ.
What is sec 𝜃?
Options
A
B
C
D
Answer & Analysis
Answer
B
Analysis
Given the point on the terminal side of the angle , we want to find .
To find the value of , we need to determine the reciprocal of the cosine of .
Given the point , we can determine the values of the adjacent side and hypotenuse.
The adjacent side is the -coordinate, which is , and the hypotenuse is the distance from the origin to the given point. We can find the hypotenuse using the Pythagorean theorem:
.
Therefore, the hypotenuse is .
Now, we can calculate the value of
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