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9.6 Solving Right Triangles
Trig Equations
sin 72
x
10
Side
We find the missing side
by cross multiplying.
Angle
How do we find the
missing angle measure?
10
sin B
12
Inverse Trig Functions

sin-1x = arcsin x


cos-1x = arccos x


Read as arcsine or inverse sine
Read as arccosine or inverse cosine
tan-1x = arctan x

Read as arctangent or inverse tangent

We use inverse trig functions to find missing angles.

Where are these buttons on your calculator?
Ex. 1 Solve the trig equation

5
cos A
11
Ex. 2 Solve the trig equation

tan B
21
3
Ex 3 Find the missing angles
B
3
2
A
13
C
Ex 4. Solve the triangle

Means find all missing angles and sides
C
10
5
A
B
Ex 5. Solve the triangle
Y
25
X
Z
13
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