Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Find the value of 
.
Text Solution
Verified by ExpertsThe correct answer is:
C
To find the value of \( \tan \left( \frac{3\pi}{4} \right) \):
Step 1: Recognize the angle. \( \frac{3\pi}{4} \) is in the second quadrant where the tangent function is negative.
Step 2: Use the reference angle. The reference angle for \( \frac{3\pi}{4} \) is \( \pi - \frac{3\pi}{4} = \frac{\pi}{4} \).
Step 3: Calculate the tangent of the reference angle. \( \tan \left( \frac{\pi}{4} \right) = 1 \).
Step 4: Since \( \frac{3\pi}{4} \) is in the second quadrant, the value of the tangent will be negative: \( \tan \left( \frac{3\pi}{4} \right) = -1 \).
Therefore, the answer is \( -1 \), which corresponds to option C.
Step 1: Recognize the angle. \( \frac{3\pi}{4} \) is in the second quadrant where the tangent function is negative.
Step 2: Use the reference angle. The reference angle for \( \frac{3\pi}{4} \) is \( \pi - \frac{3\pi}{4} = \frac{\pi}{4} \).
Step 3: Calculate the tangent of the reference angle. \( \tan \left( \frac{\pi}{4} \right) = 1 \).
Step 4: Since \( \frac{3\pi}{4} \) is in the second quadrant, the value of the tangent will be negative: \( \tan \left( \frac{3\pi}{4} \right) = -1 \).
Therefore, the answer is \( -1 \), which corresponds to option C.
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