Math III · F-TF.2

Use the unit circle to extend trig functions to all real-number radian measures.

Use the unit circle to extend trig functions to all real-number radian measures.

Concept Functions

Domain Trigonometric Functions

Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find cos(θ) and sin(θ) from a point on the unit circle

4 variants

Template 2

Find tangent from a point on the unit circle

4 variants

Template 3

Select sine, cosine, and tangent signs by quadrant

4 variants

Template 4

Find the reference angle for a radian measure on the unit circle

4 variants

Template 5

Find exact sine, cosine, and tangent from a special-angle point

4 variants

Template 6

Evaluate unit-circle trig values, including undefined tangent

4 variants

Template 7

Reduce a radian angle and evaluate exact trig values

4 variants

Template 8

Find the complete exact sine solution set on one period

4 variants

Template 9

Find the complete exact cosine solution set on one period

4 variants

Template 10

Find the complete exact tangent solution set on one full circle

4 variants

Template 11

Find the point on a sine, cosine, or tangent graph from a unit-circle angle

4 variants

Template 12

Interpret cosine and sine as horizontal and vertical coordinates

4 variants

Template 13

Find the missing sine or cosine value from a given unit-circle coordinate and quadrant

4 variants

Template 14

Report exact and four-decimal unit-circle values

4 variants