...............pls. answer

Asked by sonali221994 | 25th Jan, 2010, 06:20: PM

Expert Answer:

Dear Student

5 sin a + 3cos a= 4;    say  3 sin a -5 cos a=X

Aquare both the equations

25sin²a + 15sin a cos a + 9cos²a = 16
9sin²a - 15sin a cos a + 25cos²a = x²

Now add both equations:

34sin²a + 34cos²a = 16 + x²
34(sin²a+cos²a) = 16+x²
34 = 16 + x²
x² = 18
x = +/ - 4.2426

Regards

Team

Topperlearning

Answered by  | 25th Jan, 2010, 06:38: PM

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