Question 5 The curve, y = a cos Given that the amplitude of y is 5 and that the period of y is 720°. (a) State the value of a and of b. (b) Given that the minimum value of y is -7, state the value of c. (c) Sketch the graph of y, indicating clearly the coordinates of any maximum or minimum points on the graph. +c is defined for 0° ≤x≤720°, where a, b and c are integers. (d) State the range of values of k for which the equation a cos ( 1 ) + 0 = b +c=k has 2 unique solutions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 49E
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Question 5
The curve, y = a cos
Given that the amplitude of y is 5 and that the period of y is 720°.
(a) State the value of a and of b.
+c is defined for 0° ≤x≤720°, where a, b and c are integers.
h
(b) Given that the minimum value of y is -7, state the value of c.
(c) Sketch the graph of y, indicating clearly the coordinates of any maximum or minimum points on
the graph.
(d) State the range of values of k for which the equation a cos
(1)
+c=k has 2 unique solutions.
Transcribed Image Text:Question 5 The curve, y = a cos Given that the amplitude of y is 5 and that the period of y is 720°. (a) State the value of a and of b. +c is defined for 0° ≤x≤720°, where a, b and c are integers. h (b) Given that the minimum value of y is -7, state the value of c. (c) Sketch the graph of y, indicating clearly the coordinates of any maximum or minimum points on the graph. (d) State the range of values of k for which the equation a cos (1) +c=k has 2 unique solutions.
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