The Walls Grow Out of the Zeros

You'll learnto build secant, cosecant and cotangent by flipping a graph you already know.

Secant, cosecant and cotangent need no new circle. Each one flips the value of a wave you already know, and two places decide the whole picture: a reciprocal blows up where its parent is zero, and it touches its parent at the peaks. Twelve short steps; press Next for each one.

12 STEPS · 6 QUICK CHECKS · FLIP THE VALUE · WALLS AT THE ZEROS · TOUCH AT ±1 · v3

flip the value · the walls grow out of the zeros

Before you start

What you're looking at

A cosine wave with one of its values about to be turned upside down.

The question

What happens to the flipped curve where the parent wave passes through zero?

Step 1 / 8