Topic: Sum and Difference, Double Angle, Half Angle Identities Direction: Verify the following identities sin ² (x/2) = (tan x sin x)/ 2tan x = sin ² (x/2) •tan x cot x = - 2cot 2x •(2sin x - sin 2x)/(2sin x + sin 2x ) = tan ² (x/2)
Topic: Sum and Difference, Double Angle, Half Angle Identities Direction: Verify the following identities sin ² (x/2) = (tan x sin x)/ 2tan x = sin ² (x/2) •tan x cot x = - 2cot 2x •(2sin x - sin 2x)/(2sin x + sin 2x ) = tan ² (x/2)
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°.
Related questions
Question
100%
TOPIC: SUM AND DIFFERENCE, DOUBLE ARGUMENT, HALF-ARGUMENT IDENTITIES
![9
Topic: Sum and Difference, Double Angle, Half Angle Identities
Direction: Verify the following identities
sin ² (x/2) = (tan x sin x)/ 2tan x= sin ² (x/2)
•tan x cot x = - 2cot 2x
-
•(2sin x sin 2x)/(2sin x + sin 2x ) = tan ² (x/2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F822ce09d-5495-4bee-a9cd-ee69d82b7dc1%2F2e232274-e2c9-4f7d-8e58-f554070c2e5b%2F4kmopyl_processed.png&w=3840&q=75)
Transcribed Image Text:9
Topic: Sum and Difference, Double Angle, Half Angle Identities
Direction: Verify the following identities
sin ² (x/2) = (tan x sin x)/ 2tan x= sin ² (x/2)
•tan x cot x = - 2cot 2x
-
•(2sin x sin 2x)/(2sin x + sin 2x ) = tan ² (x/2)
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
TOPIC: SUM AND DIFFERENCE, DOUBLE ARGUMENT, HALF-ARGUMENT IDENTITIES
Number 3 to 5
![SUM AND DIFFERENCE, DOUBLE ANGLE, HALF
ANGLE IDENTITIES
Direction: Verify the following identities
•sin ² (x/2) = ( tan x
2
sin x)/ 2tan x
•tan x - cot x =
- 2cot 2x
•sin ² (x/2) = (sin x tan x/2 )/ 2 = sin ² (x/2)
sin ²x = [ 2cos ² (x/2) ] [ 1
-
cos x ] = sin 2x
•(2sin x - sin 2x)/(2sin x + sin 2x ) = tan² (x/2)
-
sin ² (x/2)
2](https://content.bartleby.com/qna-images/question/822ce09d-5495-4bee-a9cd-ee69d82b7dc1/21f6780b-3927-4fc8-bb03-e1b270ccb748/r1da1fp_thumbnail.png)
Transcribed Image Text:SUM AND DIFFERENCE, DOUBLE ANGLE, HALF
ANGLE IDENTITIES
Direction: Verify the following identities
•sin ² (x/2) = ( tan x
2
sin x)/ 2tan x
•tan x - cot x =
- 2cot 2x
•sin ² (x/2) = (sin x tan x/2 )/ 2 = sin ² (x/2)
sin ²x = [ 2cos ² (x/2) ] [ 1
-
cos x ] = sin 2x
•(2sin x - sin 2x)/(2sin x + sin 2x ) = tan² (x/2)
-
sin ² (x/2)
2
Solution
Follow-up Question
Bullet 3 to 5 only
![SUM AND DIFFERENCE, DOUBLE ANGLE, HALF
ANGLE IDENTITIES
Direction: Verify the following identities
•sin2 (x/2) = ( tan x
sin x )/ 2tan x
sin 2 (x/2)
•tan x
- cot x
– 2cot 2x
•sin? (x/2) = (sin x tan x/2 )/ 2 = sin²(x/2)
•sin ² x = [ 2cos 2 (x/2) ] [ 1
cos x ] = sin ² x
•(2sin x – sin 2x) /(2sin x + sin 2x ) = tan ² (x/2)](https://content.bartleby.com/qna-images/question/822ce09d-5495-4bee-a9cd-ee69d82b7dc1/6862de81-1190-4c04-b470-5b602d474796/mh2baiq_thumbnail.png)
Transcribed Image Text:SUM AND DIFFERENCE, DOUBLE ANGLE, HALF
ANGLE IDENTITIES
Direction: Verify the following identities
•sin2 (x/2) = ( tan x
sin x )/ 2tan x
sin 2 (x/2)
•tan x
- cot x
– 2cot 2x
•sin? (x/2) = (sin x tan x/2 )/ 2 = sin²(x/2)
•sin ² x = [ 2cos 2 (x/2) ] [ 1
cos x ] = sin ² x
•(2sin x – sin 2x) /(2sin x + sin 2x ) = tan ² (x/2)
Solution
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