3 9.6 Solving Rt ΔsEssential Question – How do we solve right triangles and their applications?
4 Solving a right ΔTo 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 mA= sin-1xIf cos A=x, then mA=cos-1xIf tan A=x, then mA=tan-1x
5 Pull out your calculators For inverse sine (sin-1) press 2nd sinFor inverse cosine (cos-1) press 2nd cosFor inverse tangent (tan-1) press 2nd tanThese are also known as arc sin, arc cos, & arc tan.
6 Ex: Find the measure of the . sin A=.5tan B=.1051mA=sin-1.5mA=30omB=tancos A=.7071mB=6omA=cosmA=45o
7 Example Solve the Δ mA=sin-1.96 mA=74o A mB=sin-1.28 25 7 mB=16o ____BC24
8 Ex:solve the Δ (round to the nearest tenth) C82+102=b2____1064+100=b28164=b2BA12.8=bbmA=51.3omA= tan-11.25mB= =38.7o