Graphing Sine and Cosine with the Unit Circle
Learning Objective
I can construct the graphs of y = sin(θ) and y = cos(θ) by transferring coordinates from the unit circle.
Practice Questions
This lesson includes 2 practice questions to reinforce learning.
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1. Explain how the sine and cosine values change as you move counter-clockwise around the unit circle, starting from 0 radians. Specifically, describe the values at 0, π/2, π, and 3π/2 radians.
2. Imagine unwrapping the unit circle and laying it flat to create the x-axis of a graph. If the y-axis represents the sine value, sketch the resulting graph from 0 to 2π. Explain how the key points on the unit circle (0, π/2, π, 3π/2, 2π) correspond to the maximum, minimum, and zero values on the sine graph.
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