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Published byNoah Gallegos Modified over 3 years ago

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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 = B A

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Solving Right Triangles

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

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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 -1 x If cos A=x, then m A=cos -1 x If tan A=x, then m A=tan -1 x

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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.

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

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Example Solve the Δ A B C __ m A=sin -1.96m A=74 o m B=sin m B=16 o

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Ex:solve the Δ (round to the nearest tenth) __ A B C 8 10 b =b =b 2 164=b =b m A= tan m A=51.3 o m B= =38.7 o

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Example S RT __ r s o r=5.1 m S= m S=70 o

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

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Assignment Guided Practice WS

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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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