(6) Given that In= tan" x dx, show that, for n 2 2. %3D In- In-2 = %3D n- 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve detailly the question 9ii below

9.
(i) Sketch on the same diagram the curves
C1
and
C2,
defined
by the polar equations
C1: r = 2 sec 0
6.
C2: r=.
1 + cos e
VE AO
(a) State the polar coordinates of the points of intersection of c, with the initial line
(b) State the palar coordinates of the points of intersection of c2 with the initial line and the half lines
(c) Find the polar coordinates of the points of intersection of
C1
and C2.
TC
4
Given that In = | tan" x dx, show that, for n 2 2.
%3D
FOKAM MES
In - In-2 =
%3D
n - 1
Transcribed Image Text:9. (i) Sketch on the same diagram the curves C1 and C2, defined by the polar equations C1: r = 2 sec 0 6. C2: r=. 1 + cos e VE AO (a) State the polar coordinates of the points of intersection of c, with the initial line (b) State the palar coordinates of the points of intersection of c2 with the initial line and the half lines (c) Find the polar coordinates of the points of intersection of C1 and C2. TC 4 Given that In = | tan" x dx, show that, for n 2 2. %3D FOKAM MES In - In-2 = %3D n - 1
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