Verify the identity. sec(t) – cos(t) = sin²(t) sec(t) Use a Reciprocal Identity to rewrite the expression in terms of cosine only, and then si

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 46E
icon
Related questions
Question
Verify the identity.
sec(t) – cos(t) = sin2(t)
sec(t)
Use a Reciprocal Identity to rewrite the expression in terms of cosine only, and then simplify.
|- cos(t)
sec(t) – cos(t)
sec(t)
|- cos(t) (cos(t)
Use a Pythagorean Identity.
Transcribed Image Text:Verify the identity. sec(t) – cos(t) = sin2(t) sec(t) Use a Reciprocal Identity to rewrite the expression in terms of cosine only, and then simplify. |- cos(t) sec(t) – cos(t) sec(t) |- cos(t) (cos(t) Use a Pythagorean Identity.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning