Which of the following situations is very much useful in proving identities

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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Which of the following situations is very much useful in proving identities
Other Trigonometric Identities
Each of these angles are measured from the positive x-axis as the initial side, and the terminal side is the
segment connecting the origin to the terminal point on the unit circle. ... These angles are commonly given as an
argument of a trigonometric function such as the sine or cosine functions.
UNDERSTANDING: Refer introduction on Test IA.
Test II. Answer what is asked.
Sifuation 1: Double Angle Identities
2 sin x cos x
sin 2x
cos 2x
cos² x – sin² x
= 2cos² x- 1
=1- 2 sin² x
2 tan x
tan 2x
1- tan² x
Situation 2: Hall Angle Identitles
COS 0
sin
1 + COs 0
COS
sin 0
1 - cos 0
tan
1 + coS 0
sin 0
Situation 3: Fundamental Identities
RECIPRO CAL IDENTITIES
cosec e =
sec e=
cot 0 =
sin e
cos e
tan e
QUOTIENT IDENTITIES
sin e
cos e
tan e =
cot e=
cos e
sin e
PYTHAG OREAN IDENTITIES
sin² 0 + cos² 0 =1
tan² 0 +1= sec² 0
1+cot² 0 = cosec²e
21SVS
2 QUARIER (FINALS EXAMINATION
Transcribed Image Text:Other Trigonometric Identities Each of these angles are measured from the positive x-axis as the initial side, and the terminal side is the segment connecting the origin to the terminal point on the unit circle. ... These angles are commonly given as an argument of a trigonometric function such as the sine or cosine functions. UNDERSTANDING: Refer introduction on Test IA. Test II. Answer what is asked. Sifuation 1: Double Angle Identities 2 sin x cos x sin 2x cos 2x cos² x – sin² x = 2cos² x- 1 =1- 2 sin² x 2 tan x tan 2x 1- tan² x Situation 2: Hall Angle Identitles COS 0 sin 1 + COs 0 COS sin 0 1 - cos 0 tan 1 + coS 0 sin 0 Situation 3: Fundamental Identities RECIPRO CAL IDENTITIES cosec e = sec e= cot 0 = sin e cos e tan e QUOTIENT IDENTITIES sin e cos e tan e = cot e= cos e sin e PYTHAG OREAN IDENTITIES sin² 0 + cos² 0 =1 tan² 0 +1= sec² 0 1+cot² 0 = cosec²e 21SVS 2 QUARIER (FINALS EXAMINATION
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