Problem preview

F-TF.8 Warmup M2-028-A09-V03

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

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

Problem

Determine whether trig values \(\sin~\theta=1/3,~\cos~\theta=2/3\) are possible.

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Not possible: 1/3 is outside [−1,1].

Possible: 1/3+2/3=1.

Possible: (1/3)²+(2/3)²=1/3.

Not possible: (1/3)²+(2/3)²=5/9.

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