Day 4 Special right triangles, angles, and the unit circle.

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Presentation transcript:

Day 4 Special right triangles, angles, and the unit circle

Special Right Triangles  

Find the value of x.

Angles  An angle in standard position :  Has vertex at the origin  Initial side on the positive x-axis  Terminal side somewhere else on the coordinate plane. Counterclockwise rotations are positive, clockwise are negative!

What is the measure of the angle in standard form? a)b) **These will be special right triangles!! Careful, this one is negative!

Sketch each angle in standard position.

Coterminal angles

Finding cosine and sine of an angle. 1. Draw the angle. 2. Draw a line from the terminal side of your angle to the x-axis. 3. It will make a special right triangle – decide which one it is. 4. Fill in the side lengths (you may have to use pythagorean theorem. 5. Find Sine and Cosine.

Find the exact value of sine and cosine for each angle.