10. Use a half angle formula to determine the exact value of tan (#).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 55RE
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Question
Use the half angle formula to solve the following question.
LAWS ANL
ENTITIES
PYTHAGOREAN IDENTITIES
PERIODIC ID
1
sine =
sin? e + cos?e = 1
sin (0 + 2n
Csc e
1
Cos e =
tan? e+1 = sec2 0
cos(0 + 2
%3D
sec e
tan 6 =
cot20 +1= csc2e
tan(0 +
cot e
DENTITIES
csc(0 + 2
HALF ANGLE IDENTITIES
cos e
sec(0 +2
1- cos 0
sin
- sin? e
cot(0 +1
LAW OF C
1+ cos e
COS
a? = b2
b2 = a²
cos 8
tan
1+ cos e
c2 = a?
SUM TO PRODUCT IDENTITIES
LAW OF S
sin a
COS
sin a + sin B = 2 sin
%3D
a
LAW OF 1
sin a - sin ß = 2 cos
sin
%3D
II
Transcribed Image Text:LAWS ANL ENTITIES PYTHAGOREAN IDENTITIES PERIODIC ID 1 sine = sin? e + cos?e = 1 sin (0 + 2n Csc e 1 Cos e = tan? e+1 = sec2 0 cos(0 + 2 %3D sec e tan 6 = cot20 +1= csc2e tan(0 + cot e DENTITIES csc(0 + 2 HALF ANGLE IDENTITIES cos e sec(0 +2 1- cos 0 sin - sin? e cot(0 +1 LAW OF C 1+ cos e COS a? = b2 b2 = a² cos 8 tan 1+ cos e c2 = a? SUM TO PRODUCT IDENTITIES LAW OF S sin a COS sin a + sin B = 2 sin %3D a LAW OF 1 sin a - sin ß = 2 cos sin %3D II
10. Use a half angle formula to determine the exact value of tan
Transcribed Image Text:10. Use a half angle formula to determine the exact value of tan
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