Home
Class 12
MATHS
Show that cos^-1(frac{sqrt3}{2}) + 2sin^...

Show that `cos^-1(frac{sqrt3}{2}) + 2sin^-1(frac{sqrt3}{2}) = frac{5pi}[6}`

Promotional Banner

Topper's Solved these Questions

  • Trignometric Functions

    CHETANA PUBLICATION|Exercise EXERCISE|113 Videos

  • PROBABILITY DISTRIBUTIONS

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

Show that 2cot^-1(frac{3}{2})+sec^-1(frac{13}{12}) = frac{pi}{2}

Prove the following: sin^-1(frac{1}{sqrt2})-3sin^-1(frac{sqrt3}{2}) = frac{-3pi}{4}

Show that 2sin^-1(frac{3}{5}) = tan^-1(frac{24}{7})

Show that cot^-1(frac{1}{3})-tan^-1(frac{1}{3}) = cot^-1(frac{3}{4})

Show that tan^-1(frac{1}{2}) = frac{1}{3}tan^-1(frac{11}{2})

Show that tan^-1(frac{1}{2})-tan^-1(frac{1}{4}) = tan^-1(frac{2}{9})

Prove the following: cos^-1(frac{3}{5})+cos^-1(frac{4}{5}) = frac{pi}{2}

Prove the following: 2tan^-1(frac{1}{3}) + tan^-1(frac{1}{7}) = frac{pi}{4}

Prove the following: sin^-1(frac{-1}{2})+cos^-1(frac{-sqrt3}{2}) = cos^-1(frac{-1}{2})

Show that (frac{1+i}{sqrt 2})^8 + (frac{1-i}{sqrt 2})^8 = 2

CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. Show that cos^-1(frac{sqrt3}{2}) + 2sin^-1(frac{sqrt3}{2}) = frac{5pi}...

    Text Solution

    |

  2. Find the general solutions of the following equations: sintheta = frac...

    Text Solution

    |

  3. Find the general solutions of the following equations: costheta = frac...

    Text Solution

    |

  4. Find the general solutions of the following equations: tantheta = sqrt...

    Text Solution

    |

  5. Find the general solutions of the following equations: sintheta = -fra...

    Text Solution

    |

  6. Find the general solutions of the following equations: costheta = -fra...

    Text Solution

    |

  7. Find the general solutions of the following equations: cottheta = -sqr...

    Text Solution

    |

  8. Find the general solutions of the following equations: 4cos^2theta = 1

    Text Solution

    |

  9. Find the general solutions of the following equations: 4sin^2theta = 3

    Text Solution

    |

  10. Find the general solutions of the following equations: tan^2theta = 1

    Text Solution

    |

  11. Find the general solutions of the following equations: cos3theta = cos...

    Text Solution

    |

  12. Find the general solutions of the following equations: cos5theta = sin...

    Text Solution

    |

  13. Find the general solutions of the following equations: sec^2(2theta) =...

    Text Solution

    |

  14. Find the general solutions of the following equations: 4sinxcosx+2sinx...

    Text Solution

    |

  15. Find the general solutions of the following equations: sin2x+sin4x+sin...

    Text Solution

    |

  16. Find general solution of sqrt3cosx-sinx = 1

    Text Solution

    |

  17. Solve the triangle in which a=2,b=1 and c=sqrt3

    Text Solution

    |

  18. In any /\ABC, prove that asinA-bsinB = csin(A-B)

    Text Solution

    |

  19. In any /\ABC, prove that [frac{a-b}{a+b}] = frac{tan(frac{A-B}{2})}{ta...

    Text Solution

    |

  20. In any /\ABC, prove that frac{a^2sin(B-C)}{sinA}+frac{b^2sin(C-A)}{sin...

    Text Solution

    |

  21. For /\ABC, prove that frac{cosA}{c cosB+bcosC}+frac{cosB}{acosC+c cosA...

    Text Solution

    |