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

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Presentation on theme: "Day 4 Special right triangles, angles, and the unit circle."— Presentation transcript:

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

2 Special Right Triangles  45-45-90  30-60-90

3 Find the value of x.

4 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!

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

6 Sketch each angle in standard position.

7 Coterminal angles

8 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.

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


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