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Rewrite as a single function of the form Asin(Bx+C). 13. 4sin(x)-6cos(x) Solve for the first two positive solutions. 15. -5 sin(x)+3 cos(x)=1 17. 3 sin (2x)-5 cos (2x) = 3 14. -sin(x)-5 cos(x) 16. 3 sin(x)+cos(x) = 2 18. -3 sin(4x)-2 cos(4x)=1

Rewrite as a single function of the form Asin(Bx+C). 13. 4sin(x)-6cos(x) Solve for the first two positive solutions. 15. -5 sin(x)+3 cos(x)=1 17. 3 sin (2x)-5 cos (2x) = 3 14. -sin(x)-5 cos(x) 16. 3 sin(x)+cos(x) = 2 18. -3 sin(4x)-2 cos(4x)=1

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 Function Problems** ### Rewrite as a Single Function: Transform each expression into a single trigonometric function of the form \( A \sin(Bx + C) \). 13. \( 4 \sin(x) - 6 \cos(x) \) 14. \( -\sin(x) - 5 \cos(x) \) ### Solve for the First Two Positive Solutions: Find the first two positive solutions for each equation. 15. \( -5 \sin(x) + 3 \cos(x) = 1 \) 16. \( 3 \sin(x) + \cos(x) = 2 \) 17. \( 3 \sin(2x) - 5 \cos(2x) = 3 \) 18. \( -3 \sin(4x) - 2 \cos(4x) = 1 \) **Note:** When solving these problems, consider using identities or transformations to simplify the trigonometric expressions or equations. For equations, solutions should be expressed in radians or degrees, depending on the context of the problem.
Transcribed Image Text:**Trigonometric Function Problems** ### Rewrite as a Single Function: Transform each expression into a single trigonometric function of the form \( A \sin(Bx + C) \). 13. \( 4 \sin(x) - 6 \cos(x) \) 14. \( -\sin(x) - 5 \cos(x) \) ### Solve for the First Two Positive Solutions: Find the first two positive solutions for each equation. 15. \( -5 \sin(x) + 3 \cos(x) = 1 \) 16. \( 3 \sin(x) + \cos(x) = 2 \) 17. \( 3 \sin(2x) - 5 \cos(2x) = 3 \) 18. \( -3 \sin(4x) - 2 \cos(4x) = 1 \) **Note:** When solving these problems, consider using identities or transformations to simplify the trigonometric expressions or equations. For equations, solutions should be expressed in radians or degrees, depending on the context of the problem.
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