Math II · F-TF.8

Prove and use sin^2(theta)+cos^2(theta)=1 to find trig values with quadrant information.

Prove and use sin^2(theta)+cos^2(theta)=1 to find trig values with quadrant information.

Concept Functions
Domain Trigonometric Functions
Problem Types

Problem Templates In This Objective

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

Template 1

Use the Pythagorean identity to find sine when cosine and the quadrant are known

4 variants
Template 2

Use the Pythagorean identity to find cosine when sine and the quadrant are known

4 variants
Template 3

Determine the signs of sine and cosine when the quadrant is known

4 variants
Template 4

Verify whether a sine value and cosine value can belong to the same angle

4 variants
Template 5

Find an exact trigonometric value using the identity when one trig value and the quadrant are known

4 variants
Template 6

Find a missing unit-circle coordinate using the Pythagorean identity and quadrant information

4 variants
Template 7

Simplify a trigonometric expression using the Pythagorean identity

4 variants
Template 8

Determine whether given sine and cosine values are possible for the same angle

4 variants
Template 9

Read separate sine and cosine values from a unit-circle point

4 variants