Topic: Sum and Difference, Double Angle, Half Angle Identities Direction: Verify the following identities •sin ²x = [2cos ² (x/2) ] [ 1 − cos x ] = sin²x •tan x - cotx = -2cot 2x •sin ² (x/2) = (sin x tan x/2 )/ 2 = sin²(x/2)
Topic: Sum and Difference, Double Angle, Half Angle Identities Direction: Verify the following identities •sin ²x = [2cos ² (x/2) ] [ 1 − cos x ] = sin²x •tan x - cotx = -2cot 2x •sin ² (x/2) = (sin x tan x/2 )/ 2 = sin²(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°.
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Question
TOPIC: SUM AND DIFFERENCE, DOUBLE ARGUMENT, HALF-ARGUMENT IDENTITIES
![Topic: Sum and Difference, Double Angle, Half Angle Identities
Direction: Verify the following identities
•sin ²x = [2cos ² (x/2) ] [ 1 - cos x ] = sin ²x
•tan x
cot x = - 2cot 2x
-
•sin ²(x/2)
=
= (sin x tan x/2 )/2 = sin ²(x/2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F822ce09d-5495-4bee-a9cd-ee69d82b7dc1%2F5746ee9c-1034-4ca6-81ad-18766e4c0827%2Fcxsditr_processed.png&w=3840&q=75)
Transcribed Image Text:Topic: Sum and Difference, Double Angle, Half Angle Identities
Direction: Verify the following identities
•sin ²x = [2cos ² (x/2) ] [ 1 - cos x ] = sin ²x
•tan x
cot x = - 2cot 2x
-
•sin ²(x/2)
=
= (sin x tan x/2 )/2 = sin ²(x/2)
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