Trigonometry Handout

Trigonometry
π
2
Figure 18:
f ( x)
= sin
−1
x
2) Inverse Cosine
−1
If −1 ≤ x ≤ 1, then f ( x)
= cos x = arccos x
0 ≤ f ( x)
≤ π .
if and only if
cos f ( x)
= x and
π
2
Figure 19:
f ( x)
= cos
−1
x
3) Inverse Tangent
If x is any real number, then
π
π
and − ≤ f ( x)
≤ .
2 2
f ( x)
= tan
−1
x = arctan x
if and only if
tan f ( x)
= x
π
2
Figure 20:
f ( x)
= tan
−1
x
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