Home
Class 12
MATHS
Prove the following : tan4theta = (4tant...

Prove the following : `tan4theta = (4tantheta-4tan^3theta)/(1-6tan^2theta+tan^4theta)`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|523 Videos

  • VECTORS

    MBD PUBLICATION|Exercise QUESTION BANK|138 Videos

Similar Questions

Explore conceptually related problems

Solve the following: tan theta + tan 2theta = tan 3theta

Solve the following: 3tan^2theta-2sintheta=0

Solve the following: sec theta +tan theta= sqrt3

Solve the following: cot^2theta-tan^2theta=4cot 2theta

intsectheta tanthetasqrt(tan^2theta-3)d theta

Solve the following: sectheta-1=(sqrt2-1) tan theta

Prove the following : sin^4theta=3/8-1/2 cos2theta+1/8 cos4theta

Evaluate the following integrals int(tan^2theta+1)/(tan^2theta-1)d theta

Prove the following : (sintheta+sin3theta+sin5theta+sin7theta)/(costheta+cos3theta+cos5theta+cos7theta) = tan4theta

Prove the following : 8sin^4(1/2theta)-8sin^2(1/2theta)+1=cos2theta

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Prove the following : sin^4theta=3/8-1/2 cos2theta+1/8 cos4theta

    Text Solution

    |

  2. Prove the following : cot3A = (cot^3A-3cotA)/(3cot^2A-1)

    Text Solution

    |

  3. Prove the following : tan4theta = (4tantheta-4tan^3theta)/(1-6tan^2the...

    Text Solution

    |

  4. Prove the following : 1/(tan3A-tanA)-1/(cot3A-cotA) = cot2A

    Text Solution

    |

  5. Prove the following : cotA/(cotA-cot3A)-tanA/(tan3A-tanA) =1

    Text Solution

    |

  6. Find the value of sin3^@, cos3^@

    Text Solution

    |

  7. If sinA+sinB=a and cosA+cosB=b, show that tan(A+B) = (2ab)/(b^2-a^2)

    Text Solution

    |

  8. If sinA+sinB=a and cosA+cosB=b, show that sin(A+B) = (2ab)/(b^2+a^2)

    Text Solution

    |

  9. If sinA+sinB=a and cosA+cosB=b, show that cos(A+B) = (b^2-a^2)/(b^2+...

    Text Solution

    |

  10. Prove the following : (1+sinA-cosA)/(1+sinA+cosA) = tan A//2

    Text Solution

    |

  11. Prove the following : 8sin^4(1/2theta)-8sin^2(1/2theta)+1=cos2theta

    Text Solution

    |

  12. Prove the following : cos^4(pi/8)+cos^4((3pi)/8)+cos^4((5pi)/8)+cos^4(...

    Text Solution

    |

  13. Prove the following : cos^2(alpha/2)(1-2cosalpha)^2+sin^2(alpha/2)(1+2...

    Text Solution

    |

  14. Prove the following : sin20^@.sin40^@.sin60^@.sin80^@ = 3/16

    Text Solution

    |

  15. Prove the following : cos36^@.cos72^@.cos108^@.cos144^@ = 1/16

    Text Solution

    |

  16. Prove the following : cos10^@.cos30^@.cos50^@.cos70^@ = 3/16

    Text Solution

    |

  17. Prove the following : cos20^@.cos40^@.cos60^@.cos80^@ = 1/16

    Text Solution

    |

  18. Prove the following : tan6^@.tan42^@.tan66^@.tan78^@ = 1

    Text Solution

    |

  19. Prove the following : cot7(1/2)^@=sqrt6+sqrt3+sqrt2+2

    Text Solution

    |

  20. Prove the following : cot22(1/2)^@=sqrt2+1

    Text Solution

    |