Help I’m trapped in a nutshell Trig – In a Nutshell Help I’m trapped in a nutshell

The Unit Circle (0,1) -,+ +,+ (-1,0) (1,0) -,- +,- (0,-1)

Terminal ray + θ -

These are the reference triangles

Trigonometric Functions y θ x

Conversion Radians to Degrees: Degrees to Radians:

Lets quickly review

Examples Find 150 What Quadrant? Q II 1 1/2 Pull out Triangle 60 150 30 Draw down side to x-axis

What Happens if… If you land on an axis, there is no triangle. So instead of using sides of the triangle, use x, y and r. Unless otherwise specified, r = 1. Find sin π, cos π and tan π. What would csc be? (-1,0)

Examples 1. If

Examples Find the values of the six trig. functions of , if  is an angle in standard position with the point (4 , 3) on its terminal ray.