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I want my trig made easy. DO NOW. Solve for p:. Trigonometry. 3 things you need to know Evaluating common angles (the unit circle) Radians Solving for sides of triangles. Evaluating Common Angles. Quadrants. Positive or Negative? All Students Take Chemistry. I. II. sin + cos +
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I want my trig made easy Objective:Fill in the unit circle using exact values of trig and radian measure
DO NOW • Solve for p: Fill in the unit circle using exact values of trig and radian measure
Trigonometry • 3 things you need to know • Evaluating common angles (the unit circle) • Radians • Solving for sides of triangles Fill in the unit circle using exact values of trig and radian measure
Evaluating Common Angles Fill in the unit circle using exact values of trig and radian measure
Quadrants • Positive or Negative? All Students Take Chemistry I II sin + cos + tan + sin + cos - tan - IV III sin - cos + tan - sin - cos - tan + Fill in the unit circle using exact values of trig and radian measure
Larger than 90 degrees If your angle is larger than 90 degrees, find its angle with the x-axis. For example, sin(120 degrees) 60º Fill in the unit circle using exact values of trig and radian measure
Example • tan(315º) 45º Fill in the unit circle using exact values of trig and radian measure
Evaluate these trig functions • cos(60º) • sin(210º) • tan(240º) Fill in the unit circle using exact values of trig and radian measure
Radians π=180º Fill in the unit circle using exact values of trig and radian measure
Examples • Convert 5π/6 into degrees • Convert 312ºinto Radians (Hint:use Math, FRAC to help you reduce) Fill in the unit circle using exact values of trig and radian measure
Drill Fill in the unit circle using exact values of trig and radian measure
Triangles! SOHCAHTOA tan sin cos opposite adjacent opposite adjacent Hypotenuse Hypotenuse Fill in the unit circle using exact values of trig and radian measure
Solving for sides/angles of triangles x 10 60º Fill in the unit circle using exact values of trig and radian measure
Solving for sides/angles of triangles 10 x Fill in the unit circle using exact values of trig and radian measure
You try 7 x 22º 13 y 7 X=2.62 Y=61.7º Fill in the unit circle using exact values of trig and radian measure
Other Trig Functions to know • Cosecant • Secant • Cotangent Fill in the unit circle using exact values of trig and radian measure
HW! • Study! Mini-Quiz Tuesday! (15 points) • Anything from the summer is up for grabs • BUT! Focus on the work we covered in class Fill in the unit circle using exact values of trig and radian measure
Fill in the unit circle using exact values of trig and radian measure