...............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
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
Related Videos
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change