1. Warm-up #3 A 13 12 B 5 1. Sin 23o = 2. Cos 78o = 3. Tan 42o =
4. Sin A =
5. Sin B =
6. Cos A =
7. Cos B =
8. Tan A =
9. Tan B = A 13 12 B 5

2. Solving Right Triangles

3. 9.6 Solving Rt Δs
Essential Question – How do we solve right triangles and their applications?

4. Solving a right Δ
To solve a rt Δ: find the measure of all its missing parts (should be 3 sides and 3 s).
To find an  measure:
If sin A=x, then mA= sin-1x
If cos A=x, then mA=cos-1x
If tan A=x, then mA=tan-1x

5. Pull out your calculators
For inverse sine (sin-1) press 2nd sin
For inverse cosine (cos-1) press 2nd cos
For inverse tangent (tan-1) press 2nd tan
These are also known as arc sin, arc cos, & arc tan.

6. Ex: Find the measure of the .
sin A=.5
tan B=.1051
mA=sin-1.5
mA=30o
mB=tan
cos A=.7071
mB=6o
mA=cos
mA=45o

7. Example Solve the Δ mA=sin-1.96 mA=74o A mB=sin-1.28 25 7 mB=16o__ __ B C 24

8. Ex:solve the Δ (round to the nearest tenth)C
82+102=b2 __ __ 10
64+100=b2 8
164=b2 B A
12.8=b b
mA=51.3o
mA= tan-11.25
mB= =38.7o

9. Example S 15
r=5.1 r __ __
20o T R s
mS=
mS=70o

10. Example solve for x 15.7mi __ x __ 59mi tan x=.2661 x= tan-1.2661
x=14.9o

11. Assignment
Guided Practice WS

12. Assessment
Answer the essential question – How do we solve right triangles and their applications?