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Objectives:
1.
Use reference angles and special
angles to evaluate sine and cosine
functions
2.
Graph sine and cosine functions.
 The

reference angle for any angle θ

is:
 the positive acute
angle formed by
the terminal ray
of θ and the
x-axis.
 We

can evaluate any trig function for
any angle by using its reference
angle.
 Determine the sign by quadrant.
 Remember: “All Students Take
Calculus!”
 Express

sin 695 in terms of a
reference angle.
 Express

cos 200 in terms of a
reference angle.
 Evaluate

each without looking at the
unit circle. (Use the reference angle!)
 Evaluate

each without looking at the
unit circle.
θ
sin θ
0
π/4
π/2
3π/4
π

1

-1
θ
cos θ
0
π/4
π/2
3π/4
π

1

-1

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7 4 evaluating and graphing sine and cosine