Section 4.3: Trigonometry Extended – The Circular Functions

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Presentation transcript:

Section 4.3: Trigonometry Extended – The Circular Functions Do Now 1. Find all other trig. values of a triangle with the sin  = 1/4

Coterminal Angles Angles in standard position have the initial side coinciding with the positive side of the x-axis. The other side of the angle is called the terminal side. Coterminal angles have the angle ending at the same location. How do you find coterminal angles?

Name five coterminal angles, including at least two negative-valued angles. a) b) c)

Finding exact trig values Assume that Ѳ is an angle in standard position whose terminal side contains the point (-4, 5). Find the exact values of all six trig functions.

Developing the Unit Circle

Using Reference Triangles to Solve for Trig Functions Find sin θ and tan θ if cos θ = ¾ and cot θ < 0.

Solving for Large Angle Measures What is the value of ? What is the value of ?

WhiteBoard Activity Find…

More Practice w/ Evaluating Exact Trig Values Find…