Cofunction identities help us to solve for trig functions of an angle related to the angle we know information about. The following are cofunction identities: = sin(t) = cos(-t) (c) tan(t) = cot(t) (d) cot(t) =tan(t) (e) csc(t) (f) sec(t) (a) cos(t) (b) sin(t) = = sec( t) csc( t) The term-t is called the complement of the angle. Using these identities, complete the following. (a) If sin(t) = , determine cos(-t).

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°.
icon
Related questions
Question
(3) Cofunction identities help us to solve for trig functions of an angle related to the angle we
know information about. The following are cofunction identities:
(a) cos(t)
(b) sin(t)
=
sin(t)
cos(t)
=
(c) tan(t) = cot(t)
(d) cot(t)
=
tan(t)
(e) csc(t)
= sec
(f) sec(t) = CSC(
- t)
- t)
-
The term-t is called the complement of the angle. Using these identities, complete the
following.
(a) If sin(t) = , determine cos(-t).
Transcribed Image Text:(3) Cofunction identities help us to solve for trig functions of an angle related to the angle we know information about. The following are cofunction identities: (a) cos(t) (b) sin(t) = sin(t) cos(t) = (c) tan(t) = cot(t) (d) cot(t) = tan(t) (e) csc(t) = sec (f) sec(t) = CSC( - t) - t) - The term-t is called the complement of the angle. Using these identities, complete the following. (a) If sin(t) = , determine cos(-t).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning