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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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(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).
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