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A. Answer as indicated. Show your complete solution including illustration. 1. Find the six functions of 0 = 13.

A. Answer as indicated. Show your complete solution including illustration. 1. Find the six functions of 0 = 13.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 10E
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A. Answer as indicated. Show your complete solution including illustration. 1. Find the six functions of 0 2. Find the other 5 functions of the given angle if its sin e = -- 3. If cos e = and 15 n<8< 2n :e < 2 n B. Enumerate the properties of the graph of the following equations. Show your complete solutions. 1. y = 2 sin 3x 2. y = - cos 2 (x - ) 3. y = 2 tan (x +) 4. y = 2 + 4 cos (x +" ) C. Solve the following problem. Show your complete solution. 1. Find a function that describes a simple harmonic motion with the following properties: Sine function; displacement zero at t =0; moving up initially; amplitude = 6 cm; period = 4 sec. 2. A point P moving in a simple harmonic motion makes 10 complete revolutions every 1 sec. The amplitude of the motion is 2 m. Assuming that P is at its minimum displacement with respect to the equilibrium when t = 0 and there is a vertical shift of 2 m downward, find a sine function that describes the path traced by P in terms of time t.
Transcribed Image Text:A. Answer as indicated. Show your complete solution including illustration. 1. Find the six functions of 0 2. Find the other 5 functions of the given angle if its sin e = -- 3. If cos e = and 15 n<8< 2n :e < 2 n B. Enumerate the properties of the graph of the following equations. Show your complete solutions. 1. y = 2 sin 3x 2. y = - cos 2 (x - ) 3. y = 2 tan (x +) 4. y = 2 + 4 cos (x +" ) C. Solve the following problem. Show your complete solution. 1. Find a function that describes a simple harmonic motion with the following properties: Sine function; displacement zero at t =0; moving up initially; amplitude = 6 cm; period = 4 sec. 2. A point P moving in a simple harmonic motion makes 10 complete revolutions every 1 sec. The amplitude of the motion is 2 m. Assuming that P is at its minimum displacement with respect to the equilibrium when t = 0 and there is a vertical shift of 2 m downward, find a sine function that describes the path traced by P in terms of time t.
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