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F-TF.8 Warmup M2-028-A01-V03

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

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

Problem

Use the \(\text{Pythagorean}~\text{identity}\) to find \(\text{sine}\) when \(\cos(\theta)=-8/17\) and \(\theta\) is in \(\text{Quadrant}~III\).

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Four variants of this problem type
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
Use the Pythagorean identity to find sine when cosine and the quadrant are known