1. Chapter 14 Day 5 Trig Functions of Any Angle

2.  We can also evaluate trig functions of an angle that contains a point that isn’t necessarily on the unit circle. We just need to adjust the trig ratio for the different.  When given the coordinates of a point on the terminal side of an angle, θ, in standard position, we can evaluate the six trig functions using these rules: radius

3. cosθ =sec θ = sin θ =csc θ = tan θ =cot θ = Where x is the of the point, y is the of the point, and r is the of the circle. x-coordinate y-coordinate radius

4.  You will need to sketch a right triangle and use the theorem to find the length of the radius. Pythagorean

5. Find the value of the six trigonometric functions of the angle θ whose terminal side in standard position passes through the given point. If the function is not defined for the angle, state so. 5.

6. Find the value of the six trigonometric functions of the angle θ whose terminal side in standard position passes through the given point. If the function is not defined for the angle, state so. 6.

7. Find the value of the six trigonometric functions of the angle θ whose terminal side in standard position passes through the given point. If the function is not defined for the angle, state so. Try these on your own! 7. 8.

8.  We can also use the same rules when given the value of one trig function and the quadrant that it lies in. Use the given to get x, y, and/or r and then use the Pythagorean theorem to find the missing value.

9. Find the values of the other five trigonometric functions of the angle in the given quadrant having the given function value. 9.

10. Find the values of the other five trigonometric functions of the angle in the given quadrant having the given function value. 10.

11. Find the values of the other five trigonometric functions of the angle in the given quadrant having the given function value. 11.

12. Find the values of the other five trigonometric functions of the angle in the given quadrant having the given function value. 12.

13. Find and if is the point where the terminal side of in standard position intersects the unit circle and x and y satisfy the given conditions. 13.

14. Find and if is the point where the terminal side of in standard position intersects the unit circle and x and y satisfy the given conditions. 14.