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2. f(x) = -5 cos (x) + 2 3. f(x)= 3 cos 2(x + 1) 4. f(x) = -sin 37 x - 1 PS = DCP= PS= DCP = PS = DCP = A A = A: P = VS = P = VS = P = VS =

2. f(x) = -5 cos (x) + 2 3. f(x)= 3 cos 2(x + 1) 4. f(x) = -sin 37 x - 1 PS = DCP= PS= DCP = PS = DCP = A A = A: P = VS = P = VS = P = VS =

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Trigonometric Functions: Amplitude, Period, Phase Shift, and Vertical Shift** For each of the following functions, identify the amplitude, period, phase shift, and vertical shift. If any don’t apply, write “none”. --- 1. \( f(x) = \sin \left( x - \frac{\pi}{3} \right) \) - A (Amplitude) = _________ - P (Period) = _________ - PS (Phase Shift) = ____________ - VS (Vertical Shift) = _________ - DCP (Drawn Complete Period) = ___________ 2. \( f(x) = -5 \cos (x) + 2 \) - A (Amplitude) = _________ - P (Period) = _________ - PS (Phase Shift) = ____________ - VS (Vertical Shift) = _________ - DCP (Drawn Complete Period) = ____________ 3. \( f(x) = 3 \cos \left( 2(x + \pi) \right) \) - A (Amplitude) = _________ - P (Period) = _________ - PS (Phase Shift) = ____________ - VS (Vertical Shift) = _________ - DCP (Drawn Complete Period) = ___________ 4. \( f(x) = -\sin \left( \frac{3 \pi}{4} x \right) - 1 \) - A (Amplitude) = _________ - P (Period) = _________ - PS (Phase Shift) = ____________ - VS (Vertical Shift) = _________ - DCP (Drawn Complete Period) = ___________ --- **Graph the following functions below over one complete period on the trigonometric graph paper:** 5. \( f(x) = -2 \cos \left( x - \frac{\pi}{2} \right) - 1 \) 6. \( f(x) = \sin \left( 3(x + \pi/3) \right) \) --- **Explanation:** This exercise focuses on identifying key characteristics of trigonometric functions which include amplitude (A), period (P), phase shift (PS), and vertical shift (VS). After identifying these elements, you are required to graph the provided functions over one complete period on
Transcribed Image Text:**Trigonometric Functions: Amplitude, Period, Phase Shift, and Vertical Shift** For each of the following functions, identify the amplitude, period, phase shift, and vertical shift. If any don’t apply, write “none”. --- 1. \( f(x) = \sin \left( x - \frac{\pi}{3} \right) \) - A (Amplitude) = _________ - P (Period) = _________ - PS (Phase Shift) = ____________ - VS (Vertical Shift) = _________ - DCP (Drawn Complete Period) = ___________ 2. \( f(x) = -5 \cos (x) + 2 \) - A (Amplitude) = _________ - P (Period) = _________ - PS (Phase Shift) = ____________ - VS (Vertical Shift) = _________ - DCP (Drawn Complete Period) = ____________ 3. \( f(x) = 3 \cos \left( 2(x + \pi) \right) \) - A (Amplitude) = _________ - P (Period) = _________ - PS (Phase Shift) = ____________ - VS (Vertical Shift) = _________ - DCP (Drawn Complete Period) = ___________ 4. \( f(x) = -\sin \left( \frac{3 \pi}{4} x \right) - 1 \) - A (Amplitude) = _________ - P (Period) = _________ - PS (Phase Shift) = ____________ - VS (Vertical Shift) = _________ - DCP (Drawn Complete Period) = ___________ --- **Graph the following functions below over one complete period on the trigonometric graph paper:** 5. \( f(x) = -2 \cos \left( x - \frac{\pi}{2} \right) - 1 \) 6. \( f(x) = \sin \left( 3(x + \pi/3) \right) \) --- **Explanation:** This exercise focuses on identifying key characteristics of trigonometric functions which include amplitude (A), period (P), phase shift (PS), and vertical shift (VS). After identifying these elements, you are required to graph the provided functions over one complete period on
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