Problem preview

F-TF.8 Warmup M2-028-A10-V02

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

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

Problem

Find \(\text{sine}\) and \(\text{cosine}\) from \(\text{Quadrant}~II\) unit-circle point \((-5/13,12/13)\).

Answer choices

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cosθ=5/13; sinθ=12/13.

cosθ=12/13; sinθ=−5/13.

cosθ=−5/13; sinθ=12/13; no identity verification.

cosθ=−5/13; sinθ=12/13; Quadrant II; 25/169+144/169=1.

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