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Day 4

Day 4. Special right triangles, angles, and the unit circle. Special Right Triangles. 45-45-90. 30-60-90. 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.

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Day 4

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  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 • Coterminal angles have the same terminal side. • To find coterminal angles, add or subtract . • Let’s find some angles that are coterminal with !

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

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

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