Home
Class 14
MATHS
If a cos theta - b sin theta =c, then pr...

If `a cos theta - b sin theta =c`, then prove that `a sin theta + b cos theta = +- sqrt(a^(2) + b^(2) - c^(2))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11A|76 Videos

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

  • GRAPHICAL SOLUTION OF LINEAR EQUATION

    LUCENT PUBLICATION|Exercise EXERCISE-3B|8 Videos

Similar Questions

Explore conceptually related problems

If a cos theta - b sin theta = c, prove that a sin theta + b cos theta = pm sqrt(a^(2) + b^(2) - c^(2)) .

If a cos theta - b sin theta =c, " then" a sin theta + b cos theta is equal to

If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

If a cos theta-b sin theta=c; prove that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)-c^(2))

If a cos theta-b sin theta=c, show that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)+c^(2))

If a cos theta-b sin theta=c, show that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)-c^(2))

If a sin theta+b cos theta=c then prove that a cos theta-b sin theta=sqrt(a^(2)+b^(2)-c^(2))

Ifa sin theta+b cos theta=C, then prove that a cos theta-b sin theta=sqrt(a^(2)+b^(2)-c^(2))

LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11B
  1. If a cos theta - b sin theta =c, then prove that a sin theta + b cos t...

    Text Solution

    |

  2. If sec theta=4x and tan theta=4/x, (x ne 0) then the value of 8(x^2-1/...

    Text Solution

    |

  3. 2-cos^(2)theta =3 sintheta costheta , sintheta ne cos theta, then the...

    Text Solution

    |

  4. If sintheta+costheta=sqrt(2)sin(90^(@)-theta) , then the value of co...

    Text Solution

    |

  5. If x sin^(3) theta + y cos^(3) theta = sin theta cos theta and x sin t...

    Text Solution

    |

  6. A and B are complementary angles, then find the value of sinAcosB+cosA...

    Text Solution

    |

  7. The least value of 2sin^2theta+3cos^2theta is

    Text Solution

    |

  8. sec^(4)theta - sec^(2)theta equals

    Text Solution

    |

  9. If costheta+cos^(2)theta=1, then find the value of sin^(4)theta+sin^(2...

    Text Solution

    |

  10. If sec theta - cosec theta = 0 , then the value of (sec theta + cosec ...

    Text Solution

    |

  11. If P sin theta = sqrt(3) and P costheta =1, then the value of P is:

    Text Solution

    |

  12. If mu(n) = cos^(n)alpha + sin^(n)alpha, then the value of 2mu(6)- 3mu(...

    Text Solution

    |

  13. If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

    Text Solution

    |

  14. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

    Text Solution

    |

  15. If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, th...

    Text Solution

    |

  16. The value of theta [0^(@) lt theta lt 90^(@)], for which (cos theta)/(...

    Text Solution

    |

  17. If sec theta+tan theta=3, then the value of sec theta is: यदि sec th...

    Text Solution

    |

  18. If tan2theta.tan4theta=1 , then the value of tan3theta is

    Text Solution

    |

  19. If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec...

    Text Solution

    |

  20. If 2ycos theta =x sin theta and 2x sectheta -y "cosec"theta =3, then t...

    Text Solution

    |

  21. If sectheta + tan theta = sqrt(3), then the positive value of sin thet...

    Text Solution

    |