Problem preview

F-TF.8 Warmup M2-028-A04-V02

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

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

Problem

Verify whether \(\sin(\theta)=1/2\) and \(\cos(\theta)=\sqrt{3}/2\) can be values for the same angle.

Answer choices

Choose your path.

Preview only

Possible: (1/2)²+(√3/2)²=1.

Not possible: (√3/2)²=√3/4.

Not possible: 1/4+3/4=4/4.

Not possible: 1/2+√3/2≠1.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math II
Standard: F-TF.8
Category: Functions
Domain: Trigonometric Functions
Objective: Prove and use sin^2(theta)+cos^2(theta)=1 to find trig values with quadrant information.
Problem type: Verify whether a sine value and cosine value can belong to the same angle