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Exact Values of Sines, Cosines, and Tangents  None.

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Presentation on theme: "Exact Values of Sines, Cosines, and Tangents  None."— Presentation transcript:

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2 Exact Values of Sines, Cosines, and Tangents

3  None

4  45-45-90  30-60-90 1 1

5 Sine = vertical side of triangle length Cosine = horizontal side of triangle length Tangent = sine / cosine

6 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

7 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

8 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

9  Use definitions and properties of sines, cosines, and tangents from lesson 4-4. Opposites Theorem Supplements Theorem Complements Theorem Half-Turn Theorem

10 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

11 1.Cos ( -2 π / 3 ) 2.Sin 45 ° 3.Cos 210° 4.Sin ( 17 π / 6 )

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16  Worksheet 4-5


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