Worksheet – Graphing trig functions
Sept. 13, 2013
0, 2π
π/2
π
3π/2
Sin ø
Fill in this table without looking at the unit
circle.
Cos ø
Tan ø
Number lines: Mark π, ­π, –5π/6, 7π/3 and 5π/4 on each of these:
­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­
0 π/2
­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­|­­­­
0 π/2
Graphs of sine and cosine
x­tic = π/6 ... y­tic = 1/2
y = sin x
y = cos x
x­tic = π/2 ... y­tic = 1
y = sin x
y = cos x
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Graphs of sine and cosine that are scaled, translated, etc.: For all remaining graphs, use x­tic = π/2 … y­tic = 1
y = ­3sin x
y = sin (2x)
y = sin(x­π/4) + 2
y = 2sin(3x)
Amp
y = ­3cos(x/2)
Pd
PS
VS
y = sin(2x­π)
Amp
y = 3cos(1/2 x+ π/6)
Pd
PS
VS
y = 2sin(3x+π)­1
Amp
y = ­cos(2x+π)­3
Pd
PS
VS
y = ­3sin(2x­π)+1
Amp
y = ­3cos(x­π/2)+2
Pd
PS
VS
Write an equation for each of the graphs below. Your equation should be in the form:
y = a sin (b( x −h ))+ k
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