1. Introduction to Trigonometry
Trig Ratios in the Coordinate Plane

2. Reference Angle: the positive acute angle formed by the terminal side and the closest x-axis.
QUADRANT I
QUADRANT II
QUADRANT III
QUADRANT IV

3. Draw the Reference Triangle for each Quadrant
QUADRANT I
QUADRANT II
QUADRANT III
QUADRANT IV

4. S A T C Positive Trig Functions and their Quadrants
ALWAYS DOUBLE-CHECK THE SIGNS OF YOUR ANSWERS!!!
Positive Trig Functions and their Quadrants S A T C
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5. Positive Trig Functions and their Quadrants
Sine
Cosecant
All
Tangent Cotangent
Cosine Secant
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6. FINDING TRIG VALUES GIVEN A POINT
Plot the point.
Draw the reference triangle.
Label the sides.
EX: The point (3, 4) is on the terminal side of an
angle Θ. Find the 6 trig values of Θ.

7. FINDING TRIG VALUES GIVEN A POINT
Plot the point.
Draw the reference triangle.
Label the sides.
EX: The point (-5, 12) is on the terminal side of an
angle Θ. Find the 6 trig values of Θ.

8. FINDING TRIG VALUES GIVEN A POINT
Plot the point.
Draw the reference triangle.
Label the sides.
EX: The point (-8, -15) is on the terminal side of an angle Θ. Find the 6 trig values of Θ.

9. FINDING TRIG VALUES GIVEN A POINT
Plot the point.
Draw the reference triangle.
Label the sides.
EX: The point (7, -24) is on the terminal side of an angle Θ. Find the 6 trig values of Θ.

10. FINDING TRIG VALUES GIVEN A TRIG RATIO
AND QUADRANT
Draw the reference triangle.
Use the trig ratio to label its sides.
EX: Suppose and the terminal side of the angle lies in Quadrant I. Find the value of the other 5 trig functions.

11. FINDING TRIG VALUES GIVEN A TRIG RATIO
AND QUADRANT
Draw the reference triangle.
Use the trig ratio to label its sides.
EX: Suppose and the terminal side of the angle lies in Quadrant III. Find the value of the other 5 trig functions.

12. FINDING TRIG VALUES GIVEN A TRIG RATIO
AND QUADRANT
Draw the reference triangle.
Use the trig ratio to label its sides.
EX: Suppose and the terminal side of the angle lies in Quadrant II. Find the value of the other 5 trig functions.

13. FINDING TRIG VALUES GIVEN A TRIG RATIO
AND QUADRANT
Draw the reference triangle.
Use the trig ratio to label its sides.
EX: Suppose and the terminal side of the angle lies in Quadrant IV. Find the value of the other 5 trig functions.