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Published byMarshall Collin Poole Modified over 8 years ago
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Exact Values of Sines, Cosines, and Tangents
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None
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45-45-90 30-60-90 1 1
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Sine = vertical side of triangle length Cosine = horizontal side of triangle length Tangent = sine / cosine
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Draw a 45 degree angle in the 1 st quadrant Make a right triangle out of it Notice the hypotenuse of triangle is 1 Use the special triangles to solve for sine and cosine Use sine and cosine to solve for tangent
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Draw a 30 degree angle in the first quadrant Make a right triangle Notice the hypotenuse is 1 Use special triangles to solve for sine and cosine Use sine a cosine to solve for tangent
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Draw a 60 degree angle in the first quadrant Make a right triangle Notice the hypotenuse is 1 Use special triangles to solve for sine and cosine Use sine and cosine to solve for tangent
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Use definitions and properties of sines, cosines, and tangents from lesson 4-4. Opposites Theorem Supplements Theorem Complements Theorem Half-Turn Theorem
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Angle in RadiansSineCosine 001 π/6π/6 1/21/2 √3 / 2 π/4π/4 √2 / 2 π/3π/3 √3 / 2 1/21/2 π/2π/2 10
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1.Cos ( -2 π / 3 ) 2.Sin 45 ° 3.Cos 210° 4.Sin ( 17 π / 6 )
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Worksheet 4-5
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