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Good Morning, Precalculus! To prepare for class: 1. Please find your DO NOW sheet and start today's DO NOW! Do Now: 1) Check to make sure your calculator is in degree mode [it is if sin(30) = 0.5] 2) Solve the proportion by cross-multiplying and using your calculator:
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Do Now: 1) Check to make sure your calculator is in degree mode [it is if sin(30) = 0.5] 2) Solve the proportion by cross-multiplying and using your calculator:
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Upcoming Assignments Due Thursday, 3/14: Half-sheet of practice problems
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Today's Objective Unit 10, Objective 1: I will be able to use the Law of Sines and the Law of Cosines to solve for missing sides and angles in triangles. Section 5-6, pgs. 313-318 Section 5-8, pgs.327-332
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Today's Agenda: 1. Do Now 2. Today's Objective 3. The Law of Sines 4. The Law of Cosines 5. Practicing with Whiteboards
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 54o xo 114o
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 13 x 12
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 x 3 4
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 x 51o 15 HYPOTENUSE OPPOSITE ADJACENT
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 x 51o 12 HYPOTENUSE OPPOSITE ADJACENT
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 x 51o 15 HYPOTENUSE OPPOSITE ADJACENT
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 25 xo 16 HYPOTENUSE OPPOSITE ADJACENT
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 26 xo 10 HYPOTENUSE OPPOSITE ADJACENT
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 xo 18 24 HYPOTENUSE OPPOSITE ADJACENT
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 xo 38o 16 26 ?
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1) Triangle Angle Sum Theorem (angles add to 180 deg.) 2) Pythagorean Thm. a2 + b2 = c2 3)Sin 4)Cos 5)Tan 6)Sin-1 7)Cos-1 8)Tan-1 120o 48o x ? 24
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The Law of Sines
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Deriving the Law of Sines
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The Law of Cosines
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Practicing with Whiteboards
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580 6 x 15 Law of Sines? Law of Cosines? Neither?
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Law of Sines? Law of Cosines? Neither?
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9 x 9 Law of Sines? Law of Cosines? Neither?
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Law of Sines? Law of Cosines? Neither? 1340
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Law of Sines? Law of Cosines? Neither?
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Law of Sines? Law of Cosines? Neither?
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