Suppose that a trigonometric curve is defined by the equation f(x) = 3-4 sin(2x + k)° where k is a constant such that -90° k 90°. Suppose that the curve passes through the point with coordinates (15,5). a) Find the value of k. b) Solve the equation f(x) = -1. 0≤x≤ 360° x Submit part Submit part

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 63E
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Suppose that a trigonometric curve is defined by the equation
f(x) = 3-4 sin(2x + k)°
0≤x≤ 360°
where k is a constant such that -90° ≤ k < 90°.
Suppose that the curve passes through the point with coordinates (15,5).
a)
Find the value of k.
k
b)
Solve the equation f(x) = -1.
x
Submit part
Submit part
Transcribed Image Text:Suppose that a trigonometric curve is defined by the equation f(x) = 3-4 sin(2x + k)° 0≤x≤ 360° where k is a constant such that -90° ≤ k < 90°. Suppose that the curve passes through the point with coordinates (15,5). a) Find the value of k. k b) Solve the equation f(x) = -1. x Submit part Submit part
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