Prove the following identity. csc 0 - cot 0 Sin2 0 2 csc 0 We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a simple fraction, and use a Half-Angle Formula to simplify. csc e - cot 0 sin 0 %3D 2 csc 0 sin 0 2 sin 0 sin 0 2 sin 0 = sin? 0

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
Prove the following identity.
Csc 0 – cot 0
sin?
2
2 csc 0
We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then
write the compound fraction as a simple fraction, and use a Half-Angle Formula to simplify.
1
Csc 0
cot 0
sin 0
sin 0
2 csc 0
2
sin 0
sin 0
2
sin 0
2
sin?
2
II
Transcribed Image Text:Prove the following identity. Csc 0 – cot 0 sin? 2 2 csc 0 We begin by writing the right side of the equation in terms of sines and cosines using the Reciprocal and Ratio Identities. We can then write the compound fraction as a simple fraction, and use a Half-Angle Formula to simplify. 1 Csc 0 cot 0 sin 0 sin 0 2 csc 0 2 sin 0 sin 0 2 sin 0 2 sin? 2 II
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Half-angle, Double-angle, and Product-Sum Formulae
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning