1. Express the following in terms of cos 0 and sin 8. a. tan = b. cotA=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 96E
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Trigonometric Identities
1. Express the following in terms of cos 0 and sin 0.
a. tan 0 =
b. cotA=
2. Complete the following identities:
a. Reciprocal identities:
1
sin 8
1
cos
1
tan e
b. Periodic Identities
sin (0+
cos (0+
sin² 0 +
tan (0+
_) = tan 0
c. Pythagorean Identities
_) = sin 0
1+tan² 0 =
= cos e
cot² 0+1=
1
csc
1
sec
1
cote
csc (0+
sec (0+
cot (0+
_)=csc 0
_) = sec 0
= 1 (Equation 1)
Now divide Equation 1 by sin² to get
__) = cote
Now divide Equation 1 by cos² to get
Transcribed Image Text:Trigonometric Identities 1. Express the following in terms of cos 0 and sin 0. a. tan 0 = b. cotA= 2. Complete the following identities: a. Reciprocal identities: 1 sin 8 1 cos 1 tan e b. Periodic Identities sin (0+ cos (0+ sin² 0 + tan (0+ _) = tan 0 c. Pythagorean Identities _) = sin 0 1+tan² 0 = = cos e cot² 0+1= 1 csc 1 sec 1 cote csc (0+ sec (0+ cot (0+ _)=csc 0 _) = sec 0 = 1 (Equation 1) Now divide Equation 1 by sin² to get __) = cote Now divide Equation 1 by cos² to get
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