Trigonometry For Dummies by Mary Jane Sterling
Author:Mary Jane Sterling
Language: eng
Format: epub, pdf
ISBN: 9781118827574
Publisher: Wiley
Published: 2014-02-03T09:23:48+00:00
Voilà!
Extending to tangent and secant
The other two Pythagorean identities stem from the first one involving sine and cosine. All you do is throw in a little algebra, apply the reciprocal and ratio identities (see those sections earlier in this chapter), simplify, and — poof! — two new identities.
Starting with the first Pythagorean identity, sin2 θ + cos2 θ = 1, divide each term by cos2 θ.
Rewrite each term by using the exponential rule . Note how the exponent 2 is pulled out of the parentheses:
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