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

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

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Warm-up #3 1. Sin 23 o = 2. Cos 78 o = 3. Tan 42 o = 4. Sin A = 5. Sin B = 6. Cos A = 7. Cos B = 8. Tan A = 9. Tan B = 13 12 5 B A Slide 2 Solving Right Triangles Slide 3 9.6 Solving Rt s Essential Question How do we solve right triangles and their applications? Slide 4 Solving a right To solve a rt : 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 -1 x If cos A=x, then m A=cos -1 x If tan A=x, then m A=tan -1 x Slide 5 Pull out your calculators For inverse sine (sin -1 ) press 2 nd sin For inverse cosine (cos -1 ) press 2 nd cos For inverse tangent (tan -1 ) press 2 nd tan These are also known as arc sin, arc cos, & arc tan. Slide 6 Ex: Find the measure of the. sin A=.5 m A=sin -1.5 m A=30 o cos A=.7071 m A=cos -1.7071 m A=45 o tan B=.1051 m B=tan -1.1051 m B=6 o Slide 7 Example Solve the A B C __ 7 24 25 m A=sin -1.96m A=74 o m B=sin -1.28 m B=16 o Slide 8 Ex:solve the (round to the nearest tenth) __ A B C 8 10 b 8 2 +10 2 =b 2 64+100=b 2 164=b 2 12.8=b m A= tan -1 1.25 m A=51.3 o m B=180-90-51.3=38.7 o Slide 9 Example S RT __ r s 15 20 o r=5.1 m S=180-90-20 m S=70 o Slide 10 Example solve for x 15.7mi 59mi x __ tan x=.2661 x= tan -1.2661 x=14.9 o Slide 11 Assignment Guided Practice WS Slide 12 Assessment How do we solve right triangles and their applications? Answer the essential question How do we solve right triangles and their applications?

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