These formulas are found from taking the square root of the power reduction formulas and substitute for 0 sin = ±₁ tan 1-cose 2 COS 0 1- cos 0 sin 0 The tangent half angle formulas can be found by taking the quotient of the half-angle formulas of sine and cosine, then rationalize the numerator or denominator. tan |= ±₂ 1+ cos 0 2 0 (₁ sin 1+ cos 0 99 A If cos A = with 270°
These formulas are found from taking the square root of the power reduction formulas and substitute for 0 sin = ±₁ tan 1-cose 2 COS 0 1- cos 0 sin 0 The tangent half angle formulas can be found by taking the quotient of the half-angle formulas of sine and cosine, then rationalize the numerator or denominator. tan |= ±₂ 1+ cos 0 2 0 (₁ sin 1+ cos 0 99 A If cos A = with 270°
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:Half-Angle Formulas
These formulas are found from taking the square root of the power reduction formulas and substitute for
0
2
0
sin =+
tan
1-cos
2
0 1-cose
2
sin
If cos A =
COS
The tangent half angle formulas can be found by taking the quotient of the half-angle formulas of sine and
cosine, then rationalize the numerator or denominator.
99
101
the denominator when applicable.
0
tan
=+
0
1+ cos 0
2
sin
1+ cos 0
A
with 270° <A<360°. Find the remaining six trigonometric functions of
2
Rationalize
Transcribed Image Text:Use the power reduction formulas to reduce the power of the expression in terms of the first power of cosine.
(cos* .x)(sin’ x)
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