Trig Identities Practice Use fundamental identities to simplify the expression. Basic Trigonometric Identities Reciprocal Identities csc 0 sin 6 cot 8 cos 8 sin 0 1 tan 8- csc 8 sec 8 Quotient Identities tan 6 cot@= Pythagorean Identities csc0 1.) sine 2.) cotêtane + sin²0 cos'e sec 8 cos 8- sin 0 cos 6 cos² 0 + sin² 0 = 1 tan 8 cot 8 cos¹0-1-sin¹0 1 + tan² = sec²0 tan³0-seo²0-1 cot²0 + 1 = csc²@oot²0-csc²0-1 cos 6 sin 0 sin²0-1-cos' 1-sec²0-tan²0 1-csc²0-cot²0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Can you please answer each one. Please show work, thanks!!
Trig Identities Practice
Use fundamental identities to simplify the expression.
Basic Trigonometric Identities
Reciprocal Identities
1
csc 8=
1
cos 8
cot 8 =
sin 8
1
sin 8-
tan 8-
csc 8
sec 8
Quotient Identities
cos 8
tan 8-
0
cot -
sin 0
Pythagorean Identities
= 1
1 + tan² = sec²0
cot² 0 + 1 = csc²0
csc0
1.)
sine
2.) cotetane +
sin²e
cos e
3.) sece (cose + sine)
4.)
secotane
csc0
Prove the identity.
tan²0
5.)
tan² +1
sec 8=
cos -
sin 0
cos
cos² + sin²
= sin 0
1
tan 8
1
cot 8
cos¹0-1-sin'0
tan³0-sec²0-1
cot²0-csc²0-1
sin²0-1-cos²0
1-sec¹0-tan²0
1-csc²0-cot'e
Transcribed Image Text:Trig Identities Practice Use fundamental identities to simplify the expression. Basic Trigonometric Identities Reciprocal Identities 1 csc 8= 1 cos 8 cot 8 = sin 8 1 sin 8- tan 8- csc 8 sec 8 Quotient Identities cos 8 tan 8- 0 cot - sin 0 Pythagorean Identities = 1 1 + tan² = sec²0 cot² 0 + 1 = csc²0 csc0 1.) sine 2.) cotetane + sin²e cos e 3.) sece (cose + sine) 4.) secotane csc0 Prove the identity. tan²0 5.) tan² +1 sec 8= cos - sin 0 cos cos² + sin² = sin 0 1 tan 8 1 cot 8 cos¹0-1-sin'0 tan³0-sec²0-1 cot²0-csc²0-1 sin²0-1-cos²0 1-sec¹0-tan²0 1-csc²0-cot'e
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning