Find (if possible) the trigonometric function of the quadrant angle.
sec 3pi/2
My answer was 0. Am I correct?
No, your answer is not correct. The trigonometric function of the angle 3π/2 in the unit circle is undefined. The secant function is the reciprocal of the cosine function, and the cosine of 3π/2 is equal to 0. However, since cosine 3π/2 is zero, the reciprocal of zero is undefined.
To find the trigonometric function of the quadrant angle, you need to determine the reference angle by subtracting the given angle from the nearest x-axis reference angle (in this case, 3π/2 from π/2).
The quadrant angle in this case is 3π/2. The reference angle is π/2.
Now, we need to identify which trigonometric function is associated with the given quadrant angle (in this case, sec):
Recall that secant (sec) is the reciprocal of cosine (cos).
The cosine of the reference angle π/2 is 0. Since secant is its reciprocal, sec(π/2) = 1/0, which is undefined.
Therefore, the correct answer is that sec(3π/2) is undefined.