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Match the functions with their periods. y=-3 tan 3x y = 6 sin 3x 3π 퓸 10T y = -4 cot y = 2 cos 2 y = - sec

Match the functions with their periods. y=-3 tan 3x y = 6 sin 3x 3π 퓸 10T y = -4 cot y = 2 cos 2 y = - sec

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter77: Machining Compound-angular Surfaces
Section: Chapter Questions
Problem 5A
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Question
**Task Instructions:** Match the trigonometric functions with their respective periods. **Functions:** 1. \( y = -3 \tan 3x \) 2. \( y = 6 \sin 3x \) 3. \( y = -4 \cot \frac{x}{4} \) 4. \( y = 2 \cos \frac{2x}{3} \) 5. \( y = -\frac{2}{3} \sec \frac{x}{5} \) **Periods:** - \( 3\pi \) - \( \frac{2\pi}{3} \) - \( \frac{\pi}{3} \) - \( 10\pi \) **Instructions:** Connect each function to its corresponding period by drawing lines or indicating matches. **Note:** - The period of sin and cos functions is calculated as \( \frac{2\pi}{b} \) where \( b \) is the coefficient of \( x \). - The period of tan and cot functions is calculated as \( \frac{\pi}{b} \).
Transcribed Image Text:**Task Instructions:** Match the trigonometric functions with their respective periods. **Functions:** 1. \( y = -3 \tan 3x \) 2. \( y = 6 \sin 3x \) 3. \( y = -4 \cot \frac{x}{4} \) 4. \( y = 2 \cos \frac{2x}{3} \) 5. \( y = -\frac{2}{3} \sec \frac{x}{5} \) **Periods:** - \( 3\pi \) - \( \frac{2\pi}{3} \) - \( \frac{\pi}{3} \) - \( 10\pi \) **Instructions:** Connect each function to its corresponding period by drawing lines or indicating matches. **Note:** - The period of sin and cos functions is calculated as \( \frac{2\pi}{b} \) where \( b \) is the coefficient of \( x \). - The period of tan and cot functions is calculated as \( \frac{\pi}{b} \).
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