Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Find the value of 
.
Text Solution
Verified by ExpertsThe correct answer is:
C
Step 1: Identify the angle in radians: \( \frac{3\pi}{4} \).
Step 2: Recognize that \( \frac{3\pi}{4} \) is in the second quadrant of the unit circle.
Step 3: The reference angle is \( \pi - \frac{3\pi}{4} = \frac{\pi}{4} \).
Step 4: In the second quadrant, the tangent function is negative.
Step 5: Therefore, \( \tan\left(\frac{3\pi}{4}\right) = -\tan\left(\frac{\pi}{4}\right) = -1.
The final answer is -1, corresponding to option C.
Step 2: Recognize that \( \frac{3\pi}{4} \) is in the second quadrant of the unit circle.
Step 3: The reference angle is \( \pi - \frac{3\pi}{4} = \frac{\pi}{4} \).
Step 4: In the second quadrant, the tangent function is negative.
Step 5: Therefore, \( \tan\left(\frac{3\pi}{4}\right) = -\tan\left(\frac{\pi}{4}\right) = -1.
The final answer is -1, corresponding to option C.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems