Back to Prove and use Pythagorean identity — Problem 3 · Task Set 78

Exercises: Pythagorean Identity: Proof and Applications

Grade 9·21 problems·~35 min·Common Core Math - HS Functions·group·hsf-tf-c-8
Work through problems with immediate feedback
A

Fluency Practice

1.

Given cosθ=23\cos\theta = -\dfrac{2}{3} and θ\theta is in Quadrant II,
use the Pythagorean identity to find sinθ\sin\theta. Express your answer
in simplest radical form (e.g., write sqrt(5)/3 for 53\dfrac{\sqrt{5}}{3}).