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Exercises Trigonometry

Example 4 from Algebra and Trigonometry, 7.4 The Other Trigonometric Functions

Using Even and Odd Properties of Trigonometric Functions

If the secant of angle $t$ is 2, what is the secant of $- t ?$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Secant is an even function. The secant of an angle is the same as the secant of its opposite. So if the secant of angle $t$ is 2, the secant of $- t$ is also 2.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

If the cotangent of angle $t$ is $\sqrt{3},$ what is the cotangent of $- t ?$

How did it go?

PreviousUsing Reference Angles to Find Trigonometric Functions Next Using Identities to Evaluate Trigonometric Functions

From Algebra and Trigonometry (1st edition) by OpenStax (Rice University), section 7.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.