`cot^2(y)(sec^2(y) - 1) = 1` Verfiy the identity.

Asked on by enotes

Textbook Question

Chapter 5, 5.2 - Problem 11 - Precalculus (3rd Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

mathace's profile pic

mathace | (Level 3) Assistant Educator

Posted on

Verify the identity: `cot^2(y)[sec^2(y)-1]=1`

Use the pythagorean identity `1+tan^2(y)=sec^2(y).`

If  `tan^2(y)`  is isolated the identity would be `tan^2(y)=sec^2(y)-1.`



Because tan(y) and cot(y) are reciprocals their product is equal to 1.


We’ve answered 319,673 questions. We can answer yours, too.

Ask a question