Exact Values of Sines, Cosines, and Tangents

 None

 

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

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

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

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

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

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

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

 Worksheet 4-5