Prove that the following identity is true. - = 2 csc? x 1 + cos x We begin on the left side of the equation by writing the two fractions with common denominators, and add. We can then use a Pythagorean Identity to simplify the denominator. Lastly, we use a Reciprocal Identity to remove the fraction. 1 - cos x 1 + cos x 1 - cos x 1 - cos? x 1. 1 + cos X 1 - cos x cos²(x) CoS cos x) + (1 + cos x) |cos (x) (1 2 calcPad cos (x) Operations 1 - Functions х Symbols Relations 2- lcos?(x) Sets Vi o! Vectors = 2 csc? x Trig
Prove that the following identity is true. - = 2 csc? x 1 + cos x We begin on the left side of the equation by writing the two fractions with common denominators, and add. We can then use a Pythagorean Identity to simplify the denominator. Lastly, we use a Reciprocal Identity to remove the fraction. 1 - cos x 1 + cos x 1 - cos x 1 - cos? x 1. 1 + cos X 1 - cos x cos²(x) CoS cos x) + (1 + cos x) |cos (x) (1 2 calcPad cos (x) Operations 1 - Functions х Symbols Relations 2- lcos?(x) Sets Vi o! Vectors = 2 csc? x Trig
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section1.5: More On Identities
Problem 100PS
Related questions
Question
![Prove that the following identity is true.
- = 2 csc? x
1 + cos x
We begin on the left side of the equation by writing the two fractions with common denominators, and add. We can then use a Pythagorean Identity to simplify the denominator. Lastly, we use
a Reciprocal Identity to remove the fraction.
1 - cos x
1 + cos x
1 - cos x
1 - cos? x
1.
1 + cos X
1 - cos x
cos²(x)
CoS
cos x) + (1 + cos x)
|cos (x)
(1
2
calcPad
cos (x)
Operations
1 -
Functions
х
Symbols
Relations
2- lcos?(x)
Sets
Vi o!
Vectors
= 2 csc? x
Trig](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0741f8fc-a0b4-4aca-8b12-341e5aa5e9c9%2Fa45872d5-99b2-4fd6-8827-70695c94302e%2Fccznwqe.png&w=3840&q=75)
Transcribed Image Text:Prove that the following identity is true.
- = 2 csc? x
1 + cos x
We begin on the left side of the equation by writing the two fractions with common denominators, and add. We can then use a Pythagorean Identity to simplify the denominator. Lastly, we use
a Reciprocal Identity to remove the fraction.
1 - cos x
1 + cos x
1 - cos x
1 - cos? x
1.
1 + cos X
1 - cos x
cos²(x)
CoS
cos x) + (1 + cos x)
|cos (x)
(1
2
calcPad
cos (x)
Operations
1 -
Functions
х
Symbols
Relations
2- lcos?(x)
Sets
Vi o!
Vectors
= 2 csc? x
Trig
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