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Phase Shift in Degrees

Part of the Graphs of Trig Functions section of Coddy's Trigonometry journey. Lesson 24 of 49.

On a degree axis the shift is in degrees. $y = \cos\left(x-60^{\circ}\right)$ is the cosine slid 60° to the right: its top moves from 0° to 60°, and every other point moves with it.

$The cosine and the same wave slid 60 degrees to the right$

To place a shifted cosine, find where its inside is 0: that is its top. For a shifted sine the same x is where it crosses the midline going up. Then draw the rest a quarter period at a time.

Challenge

Draw the graph on the goal row on the degree axis. Press Check.

Try it yourself

y = \cos\left(x+30^{\circ}\right)

Draw the wave

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Graphs of Trig Functions

2The Cosine Graph

The Cosine Graph Cosine Is a Shifted Sine Where Sine Meets Cosine Cosine Graph Recap

5Midline

The Midline From Highest and Lowest Reading the Midline Midline Recap

8The Tangent Graph

The Tangent Graph Asymptotes Stretching the Tangent Graphs of sec, csc and cot Tangent Recap

3Amplitude

Amplitude: How Tall Amplitude of a Cosine A Negative a Flips It Amplitude From a Graph Amplitude Recap

6Phase Shift

Phase Shift: SlidingPhase Shift in DegreesFactor Out b First Reading a Phase Shift Phase Shift Recap

9Modelling with Waves

A Ferris Wheel Model Daylight Over a Year Tides Using a Model A Spring's Bounce Modelling Recap