Show that the following nonlinear system has 18 solutions if 0 < a < 27, 0 < ß S 2T, and 0 < Y < 27. sin a + 2 cos B + 3 tan y = 0 2 sin a + 5 cos B + 3 tan y = 0 – sin a – 5 cos ß + 5 tan y = 0 [Hint: Begin by making the substitutions x = sin a, y = cos B, and z = tan y.]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Linear Algebra - System of Linear Equation

Solve the problem with a complete and detailed solution. Follow the prescribed format.

Show that the following nonlinear system has 18 solutions if
0 < a < 27,0 < ß < 2T, and 0 < Y < 27.
sin a + 2 cos B + 3 tan y = 0
2 sin a + 5 cos ß + 3 tan y = 0
- sin a – 5 cos ß + 5 tan y = 0
%3D
[Hint: Begin by making the substitutions x = sin a,
y = cos B, and z = tan y.]
Transcribed Image Text:Show that the following nonlinear system has 18 solutions if 0 < a < 27,0 < ß < 2T, and 0 < Y < 27. sin a + 2 cos B + 3 tan y = 0 2 sin a + 5 cos ß + 3 tan y = 0 - sin a – 5 cos ß + 5 tan y = 0 %3D [Hint: Begin by making the substitutions x = sin a, y = cos B, and z = tan y.]
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