Problem preview
F-TF.2 Warmup M3-034-A11-V01

Use the unit circle to extend trig functions to all real-number radian measures.

Find the point on a sine, cosine, or tangent graph from a unit-circle angle

Problem

What point on the graph of \(\text{sine}\) corresponds to the angle \(\pi/2\)?

Big Picture

What this problem is really about

A function graph and the unit circle use different ordered pairs. On the graph, the first coordinate is the input angle; the unit-circle point only supplies the function output through its vertical coordinate for sine, horizontal coordinate for cosine, or their ratio for tangent. Combine the original angle with that output.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-TF.2
Category
Functions
Domain
Trigonometric Functions
Objective
Use the unit circle to extend trig functions to all real-number radian measures.
Problem type
Find the point on a sine, cosine, or tangent graph from a unit-circle angle