40 – Tangent and Cotangent Values No Calculator Trigonometric Investigations I 40 – Tangent and Cotangent Values No Calculator

First a little arithmetic review: Note: The 2’s in each fraction will always cancel. Therefore, when computing tangent/cotangent, we will look only at the NUMERATOR of sine and cosine.

(0, 1) (-1, 0) (1,0) (0, -1)

(0, 1) (-1, 0) (1,0) (0, -1)

Summary of Denominators of 3 – Tangent Values

Summary of Denominators of 3 – Cotangent Values

Summary of Denominators of 6 – Tangent Values

Summary of Denominators of 6 – Cotangent Values

Summary of Denominators of 4 – Tangent Values

Summary of Denominators of 4 – Cotangent Values

Finding Tangent/Cotangent Values Quadrant: I Triangle:

Finding Tangent/Cotangent Values II Quadrant: II Triangle:

Finding Tangent/Cotangent Values Axis: - y-axis Coordinates: (0, -1) - y-axis

Finding Tangent/Cotangent Values Quadrant: IV Triangle: IV

Finding Tangent/Cotangent Values Quadrant: III Triangle: III

Finding Tangent/Cotangent Values Quadrant: I Triangle:

Finding Tangent/Cotangent Values Quadrant: IV Triangle: IV

Finding Tangent/Cotangent Values Axis: - x-axis Coordinates: (-1, 0) - x-axis

Find each of the following trig values, picturing the quadrant/axis and triangle/coordinates without writing either down. Write down only answers.

Find each of the following trig values, picturing the quadrant/axis and triangle/coordinates without writing either down. Write down only answers.