Pre-Calculus For Dummies by Yang Kuang PhD

Author:Yang Kuang, PhD
Language: eng
Format: epub
Publisher: Wiley
Published: 2012-05-16T16:00:00+00:00

Every trig ratio can be written as a combination of sines and/or cosines, so changing all the functions in an equation to sines and cosines is the simplifying strategy that works most often. Always try to do this step first and then look to see if things cancel and simplify. Also, dealing with sines and cosines is usually easier if you’re looking for a common denominator for fractions. From there, you can use what you know about fractions to simplify as much as you can.

Simplifying an expression with reciprocal identities

Look for opportunities to use reciprocal identities whenever the problem you’re given contains secant, cosecant, or cotangent. All these functions can be written in terms of sine and cosine, and sines and cosines are always the best place to start. For example, you can use reciprocal identities to simplify this expression:

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