Home
Class 12
MATHS
Show that the general solution of sin x-...

Show that the general solution of `sin x- 3 sin 2x+sin 3x= cos x-3 cos 2x+ cos 3x " is " ( n pi)/(2)+ (pi)/(8)`, where n is any integer.

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of sin x-3 sin 2x+ sin 3x= cos x - 3 cos 2x + cos 3x.

The general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos3x is

(sin 3x + sin x ) sin x + (cos 3x - cos x) cos x =0

cosx - sin3x = cos2x

The number of solution of sinx+sin2x+sin3x=cosx+cos2x+cos3x ,0lt=xlt=2pi, is

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

sin 3x + sin 2x - sinx = 4sin x cos "" x/2 cos "" (3x)/(2)

(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

What is the fundamental period of f(x) = (sin x+ sin 3x)/(cos x+ cos 3x)

The general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos3x is (n in Z) npi+pi/8 (b) (npi)/2+pi/8 (-1)^n(npi)/2+pi/8 (d) 2npi+cos^(-1)2/3

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If a sin theta+ b cos theta=0,then find theta

    Text Solution

    |

  2. If cos^(3) theta = kcos (alpha- 3 theta) and sin ^(3) theta= ksin (alp...

    Text Solution

    |

  3. Show that the general solution of sin x- 3 sin 2x+sin 3x= cos x-3 cos ...

    Text Solution

    |

  4. If k is a positive integer, show that 2[ cos x+ cos 3x+ cos 5x+ ..+ ...

    Text Solution

    |

  5. If alpha=(pi)/(8 n) then prove that sin^(2) alpha+ sin^(2)3 alpha+ sin...

    Text Solution

    |

  6. If sin A+ tan A= a and cos A+ cot A= b, then show that (1+a)^(-2)+(1...

    Text Solution

    |

  7. If a^(2)(1- sin theta) +b^(2)(1+ sin theta)= 2 ab cos theta then show ...

    Text Solution

    |

  8. Show that (1+ sin A)/(cosA)+( cos B)/(1- sin B)=(2 (sin A- sin B))/(...

    Text Solution

    |

  9. If n is positive integer and "cos" (pi)/(2n)+"sin" (pi)/(2n) =(sqrt(n)...

    Text Solution

    |

  10. Solve : sec theta+"cosec" theta=2 sqrt(2)

    Text Solution

    |

  11. Solve : tan^(3) theta+ cot^(3) theta= 8 "cosec"^(3) 2 theta+12

    Text Solution

    |

  12. Solve : ("sin" (x)/(2) "cos" (x)/(2))/(1-8 "sin"^(2)(x)/(2) "cos"^(2...

    Text Solution

    |

  13. Solve : cos theta cos 2 theta cos 3 theta =(1)/(4) (0 le theta le p...

    Text Solution

    |

  14. If cos beta is the geometric mean of sin alpha and cos alpha, then sho...

    Text Solution

    |

  15. Prove that "sin" (pi)/(14)"sin" (3pi)/(14) "sin" (5pi)/(14) "sin" (7p...

    Text Solution

    |

  16. The sides of a triangles are in A.P.and the greatest angle exceeds the...

    Text Solution

    |

  17. Let 0 lt x lt pi, 0 lt y lt pi and cos x+ cos y - cos (x+y)=(3)/(2). ...

    Text Solution

    |

  18. Eliminate x and y from the following equations : a sin ^(2)+ b cos^(2)...

    Text Solution

    |

  19. Find the root of equation 2x^2+3 x + 11=0.

    Text Solution

    |

  20. If a cos theta+ b sin theta= c then find the quadratic equation whose...

    Text Solution

    |