Pre-Calculus Workbook For Dummies by Yang Kuang

Author:Yang Kuang
Language: eng
Format: epub
Publisher: Wiley
Published: 2011-03-14T04:00:00+00:00

From there, notice that you have a Pythagorean identity. Rewrite the resulting fraction in terms of sine and cosine using ratio identities, and multiply terms to complete the proof.

21. Prove for x in (π⁄4, π + π⁄4)

Solve It

22. Prove

Solve It

23. Prove

Solve It

24. Prove

Solve It

25. Prove

Solve It

26. Prove secx – cosx = sinx · tanx.

Solve It

Answers to Problems on Basic Trig Identities

This section contains the answers for the practice problems presented in this chapter. We suggest you read the following explanations if your answers don’t match up with ours (or if you just want a refresher on solving a particular type of problem).

1. Simplify cotx · secx. The answer is cscx.

Start by using ratio identities to show the expression in terms of sine and cosine. Cancel the cosine in the numerator and denominator and write as a single fraction. Finally, rewrite using reciprocal identities.

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