tan(3π/4) equals which value?

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Study for the NBCT Mathematics AYA Component 1 exam. Utilize flashcards and multiple-choice questions with detailed explanations for each question. Prepare efficiently for success in your teaching certification journey!

Multiple Choice

tan(3π/4) equals which value?

Explanation:
Tangent is the ratio of sine to cosine, tan θ = sin θ / cos θ. For 3π/4 (135 degrees), we’re in the second quadrant where sine is positive and cosine is negative. The exact values are sin(3π/4) = √2/2 and cos(3π/4) = -√2/2. Dividing gives (√2/2) / (-√2/2) = -1. So tan(3π/4) equals -1.

Tangent is the ratio of sine to cosine, tan θ = sin θ / cos θ. For 3π/4 (135 degrees), we’re in the second quadrant where sine is positive and cosine is negative. The exact values are sin(3π/4) = √2/2 and cos(3π/4) = -√2/2. Dividing gives (√2/2) / (-√2/2) = -1. So tan(3π/4) equals -1.

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