Question 22 Prove the identity + cosA 1-cosA 1-cosA 1+ cosA = 4 cot A cosec A. Question 23 Prove the identity (sin x+1)(sin x-1)(sin² x + tan² x+ cos²x)=-1.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Question 22
Prove the identity
+ COSA
1-cosA
1-cosA 1+ cosA
= 4 cot A cosec A.
Question 23
Prove the identity (sin x + 1)(sin x-1)(sin² x + tan² x + cos² x) = -1.
Transcribed Image Text:Question 22 Prove the identity + COSA 1-cosA 1-cosA 1+ cosA = 4 cot A cosec A. Question 23 Prove the identity (sin x + 1)(sin x-1)(sin² x + tan² x + cos² x) = -1.
Question 24
Prove that
4 sin cos² 0-2 sin 0
cos²0-sin²0
Question 25
(a) Prove that secx-cosx =
= 2 sin 0.
=
= sinxtanx.
3
(b) Hence, or otherwise, solve secx- cos x==
2
for 0<x<2n.
Transcribed Image Text:Question 24 Prove that 4 sin cos² 0-2 sin 0 cos²0-sin²0 Question 25 (a) Prove that secx-cosx = = 2 sin 0. = = sinxtanx. 3 (b) Hence, or otherwise, solve secx- cos x== 2 for 0<x<2n.
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