Problem preview
F-TF.2.1 Warmup M3-035-A13-V01

Graph all six basic trigonometric functions.

Find the value of sin, cos, tan, csc, sec, or cot at a key angle

Problem

What is the value of \(\text{sine}\) at \(\pi/2\)?

Big Picture

What this problem is really about

Locate the angle's terminal point on the unit circle before evaluating the function. Sine reads the vertical coordinate, cosine reads the horizontal coordinate, and the other trig functions come from their ratios or reciprocals. This coordinate rule prevents borrowing a value from the wrong axis or a nearby special angle.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-TF.2.1
Category
Functions
Domain
Trigonometric Functions
Objective
Graph all six basic trigonometric functions.
Problem type
Find the value of sin, cos, tan, csc, sec, or cot at a key angle