Basic Technical Mathematics, 11th Edition

10 Graphs of the Trigonometric Functions

LEARNING OUTCOMES

After completion of this chapter, the student should be able to:

• Graph the functions $y\hspace{0.17em}=\hspace{0.17em}\sin x$ and $y\hspace{0.17em}=\hspace{0.17em}\cos x$

• Determine amplitude, period, and displacement

• Graph the functions $y\hspace{0.17em}=\hspace{0.17em}a\sin x$ and $y\hspace{0.17em}=\hspace{0.17em}a\cos x$

• Graph the functions $y\hspace{0.17em}=\hspace{0.17em}a\sin bx$ and $y\hspace{0.17em}=\hspace{0.17em}a\cos bx$

• Graph the functions $y\hspace{0.17em}=\hspace{0.17em}a\sin (bx\hspace{0.17em}+\hspace{0.17em}c)$ and $y\hspace{0.17em}=\hspace{0.17em}a\cos (bx\hspace{0.17em}+\hspace{0.17em}c)$

• Graph the functions $y\hspace{0.17em}=\hspace{0.17em}\tan x\hspace{0.17em},\hspace{0.17em}y\hspace{0.17em}=\hspace{0.17em}\cot x\hspace{0.17em},\hspace{0.17em}y\hspace{0.17em}=\hspace{0.17em}\sec x\hspace{0.17em},\hspace{0.17em}$ and $y\hspace{0.17em}=\hspace{0.17em}\csc x$

• Solve application problems involving graphs of trigonometric functions

• Graph composite trigonometric curves by addition of ordinates

• Graph Lissajous figures

The electronics era is thought by many to have started in the 1880s with the discovery of the vacuum tube by the American inventor Thomas Edison ...