Home
Class 11
MATHS
Find the value of tan15^@...

Find the value of `tan15^@`

Text Solution

Verified by Experts

`tan15^@=tan(60^@-45^@) =(tan60^@-tan45^@)/(1+tan60^@tan45^@`
`=(sqrt3-1)/(1+sqrt3)=(sqrt3-1)/(sqrt3+1)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    PATHFINDER|Exercise QUESTION BANK|241 Videos

Similar Questions

Explore conceptually related problems

Find the value of tan 105^@

Using the identity tan A =(sin 2A)/(1+cos2A) find the value of tan 15^(@) and tan 75^(@) and hence solve that the equation sec^(2) theta= 4 tan theta .

Find the value of sin15^@

Find the value of tan 20^@ tan 40^@ tan 80^@ .

Find the values of tan 75^(@)

If tan 17^(@) = x , find the value of (tan 163^@ - tan 107^@)/(1 + tan 163^@ tan 107^@) .

Find the value of tan 44^@ , given tan1^@ = 0.01745 .

Find the value of tan44^(@) , given 1^(@) = 0.0.1745.

Find the value of cos15^@

Find the value of :- tan225^@

PATHFINDER-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-QUESTIONBANK
  1. Evaluate:"sin"pi/4"cos"pi/(12)+"cos"pi/4"sin"pi/(12)

    Text Solution

    |

  2. (tan ((pi)/(4) +x))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x ))...

    Text Solution

    |

  3. Prove that sin^2(pi/8+A/2)-sin^2(pi/8-A/2)=1/sqrt2sinA

    Text Solution

    |

  4. Find the value of tan15^@

    Text Solution

    |

  5. Prove that sin^2(n+1)A-sin^2nA=sin(2n+1)AsinA

    Text Solution

    |

  6. If tan(A+B)=x and tan(A-B)=y find the value of tan2A.

    Text Solution

    |

  7. If log(b) n = 2 and og(n) 2b = 2, then find the value of b.

    Text Solution

    |

  8. Prove that (tan69^@+tan66^@)/(1-tan69^@tan66^@)=-1.

    Text Solution

    |

  9. If tanA=5/6 and tanB=1/(11), Prove that A+B=pi/.4

    Text Solution

    |

  10. Prove that sin^2B=sin^2A+sin^2(A-B)-2sinAcosBsin(A-B)

    Text Solution

    |

  11. Prove that cos^2A+cos^2B-2cosAcosBcos(A+B)=sin^2(A+B).

    Text Solution

    |

  12. Prove that tan8theta-tan6theta-tan2theta=tan8thetatan6thetatan2theta.

    Text Solution

    |

  13. If tanA+tanB=a and cotA+cotB=b.Prove that cot(A+B)=1/a-1/b

    Text Solution

    |

  14. If tanx+tan(x+pi/3)+tan(x+(2pi)/3)=3 then prove that (3tanx-tan^3x)/(1...

    Text Solution

    |

  15. cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-3/2 show that cosalp...

    Text Solution

    |

  16. If tan(picostheta)=cot(pisintheta) Prove that sin(theta+pi/4)=1/(2sqrt...

    Text Solution

    |

  17. Let tan alpha = a/(a+1) and tan beta =1/(2a +1), then alpha + beta is:

    Text Solution

    |

  18. If theta lies in the 1st quadrant and costheta=8/(17) then prove that ...

    Text Solution

    |

  19. If alpha, beta are the solutions of the equation a tantheta+b secthet...

    Text Solution

    |

  20. Prove that tan70^(@)=2tan50^(@)+tan20^(@).

    Text Solution

    |