(c) [* '지/2 cos" a sin? xdx 3 (d) x/x² – 9

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 57E
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Question

Evaluate the following integrals,Be sure to identify which formula you
are using and show all steps necessary to evaluate the given integral.

Trigonometric identities:
sin x + cos² x = 1
tan? x +1 = sec?
cos(x + y)
= cos x cos y – sin x sin y
cos(x – y)
= cos x cos y+ sin x sin y
-
sin(x + y) = sin x cos y + sin y cos x
sin(x – y) = sin x cos y – sin y coS x
sin? x =
(1 – cos 20)
x = ;(1+ cos 2x)
cos?
sin 2x
2 sin x cos x
cos 2x = cos? x – sin? x = 2 cos² x – 1 = 1 – 2 sin? x
sin 0 = G cos 0 = # tan 0 =
H
A
H
A
Transcribed Image Text:Trigonometric identities: sin x + cos² x = 1 tan? x +1 = sec? cos(x + y) = cos x cos y – sin x sin y cos(x – y) = cos x cos y+ sin x sin y - sin(x + y) = sin x cos y + sin y cos x sin(x – y) = sin x cos y – sin y coS x sin? x = (1 – cos 20) x = ;(1+ cos 2x) cos? sin 2x 2 sin x cos x cos 2x = cos? x – sin? x = 2 cos² x – 1 = 1 – 2 sin? x sin 0 = G cos 0 = # tan 0 = H A H A
7/2
(e) L".
cos x sin? xdx
3
(d)
xp:
xVx² – 9
Transcribed Image Text:7/2 (e) L". cos x sin? xdx 3 (d) xp: xVx² – 9
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