EX/Show that cos"x (1+ cos2x)

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
icon
Related questions
Topic Video
Question
(1+cos2x)
EX/Show that cosx=.
Sol/
cos 2x cos(x +x) = cos x.cos x-sin x.sin x
= cosx-sinrcos x-(1-cos' x)=2 cos x-1
cos
1+ cos 2x
r%3D
2
HW:
) Prove that:
cos e
(a)
1- tan e 1-cot? 0
sin 0
2-
=1, (b) tan2 0.cos 0 + cot? 0.sin? 0 = 1
From the figure below find (a) sin (60), (b) cos (60),
(c) sin (30),=
2
しこ。
Sin=
(d) cos (30), (e) |AD|
し
2.
ton =
B 660
| 60c
From the figure below find cos (45)
%3D
J45
9°
3
Transcribed Image Text:(1+cos2x) EX/Show that cosx=. Sol/ cos 2x cos(x +x) = cos x.cos x-sin x.sin x = cosx-sinrcos x-(1-cos' x)=2 cos x-1 cos 1+ cos 2x r%3D 2 HW: ) Prove that: cos e (a) 1- tan e 1-cot? 0 sin 0 2- =1, (b) tan2 0.cos 0 + cot? 0.sin? 0 = 1 From the figure below find (a) sin (60), (b) cos (60), (c) sin (30),= 2 しこ。 Sin= (d) cos (30), (e) |AD| し 2. ton = B 660 | 60c From the figure below find cos (45) %3D J45 9° 3
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Fundamentals of Trigonometric Identities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning