Trig functions of ANY angle
January 12, 2017
Date: 1/12/17
Objective: I can solve problems involving trig functions of ANY angle.
You should be
writing this Entry: COPY
in your notebook.
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Trig functions of ANY angle
January 12, 2017
Trig. Ratios of Any Angle NOT on the Unit Circle
Steps:
1. Diagram the point and draw in the angle.
~ (we do NOT need to determine the size of the angle)
2. Finish the reference triangle (ALWAYS draw the right angle to the x­
axis!)
3. Label the sides of the triangle using the given point and the Pythagorean Theorem
4. Include necessary positive/negative signs based on the quadrant
5. Finish with the correct ratio using SOHCAHTOA
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Trig functions of ANY angle
January 12, 2017
Ex. 1 Evaluate the six trigonometric functions of the angle, theta.
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Trig functions of ANY angle
January 12, 2017
Ex. 2 Point P is on the terminal side of angle, theta. Evaluate the six trigonometric functions for theta. If the function is undefined, write "undefined."
A. P(­5, 3) 4
Trig functions of ANY angle
January 12, 2017
Quadrantal Angles
• angles on the x or y ­ axis
• answers (ratios) will always be 0, 1, ­1 or undefined
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Trig functions of ANY angle
January 12, 2017
Evaluating Trig Functions Of Quadrantal Angles
Ex. 3 Point P is on the terminal side of angle, theta. Evaluate the six trigonometric functions for theta. If the function is undefined, write "undefined."
A. P(0,­4)
B. P(2,0)
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Trig functions of ANY angle
January 12, 2017
HW: p.347: 3,6,8­11
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