Home
Class 11
MATHS
Prove that, tan""(pi)/(16)=sqrt(4+2sqr...

Prove that,
`tan""(pi)/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|60 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|33 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 3|10 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

Prove that, cot""(pi)/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

Prove that : tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))=pi/4+1/2cos^(-1)x^(2) .

Prove that : tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))=pi/4-1/2cos^(-1)x,-1/sqrt2lexle1

Prove that : cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=x/2,x in(0,pi/4)

Prove that : cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=x/2,x in(0,pi/4)

Prove that, cos((pi)/(4)+x)+cos((pi)/(4)-x)=sqrt(2)cosx .

Prove that : 2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)\ 1/8=pi/4

Prove that : tan^(-1)(1/4)+tan^(-1)(2/9)=sin^(-1)(1/sqrt5) .

Prove that the following are irrationals (1) (1)/sqrt(2) (2) 7sqrt(5) (3)6+sqrt(2)

sqrt(2+sqrt(2+2cos4theta))= …………

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -PRACTICE WORK
  1. Prove that, tan((A)/(2)+B)=(c+b)/(c-b)tan((A)/(2))

    Text Solution

    |

  2. Prove that, a^(3)sin(B-C)+b^(3)sin(C-A)+c^(3)sin(A-B)=0

    Text Solution

    |

  3. Prove that, cot""(pi)/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

    Text Solution

    |

  4. Prove that, tan""(pi)/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)

    Text Solution

    |

  5. Prove that, 4sin27^(@)=sqrt(5+sqrt(5))+sqrt(3-sqrt(5))

    Text Solution

    |

  6. If alpha and beta are roots of the equation acostheta+bsintheta=c then...

    Text Solution

    |

  7. If alpha and beta are roots of the equation acostheta+bsintheta=c then...

    Text Solution

    |

  8. If costheta=a then show that cos^(2)((theta)/(2)) and sin^(2)((theta)/...

    Text Solution

    |

  9. Prove that, (2costheta+1)(2costheta-1) (2cos2theta-1)(2cos4theta-1)=...

    Text Solution

    |

  10. If DeltaABC is a right angle triangle then prove that cos^(2)A+cos^(2)...

    Text Solution

    |

  11. If cosalpha=(3)/(5),cosbeta=(5)/(13),0ltalpha,betalt(pi)/(2) then find...

    Text Solution

    |

  12. Prove, sin6^(@).sin(42^(@)).sin(66^(@)).sin(78^(@))=(1)/(16) .

    Text Solution

    |

  13. Prove that 2tanbeta+cotbeta=tanalphaimplies2tan(alpha-beta)=cotbeta.

    Text Solution

    |

  14. If theta+beta=alphaandsintheta=ksinbeta then prove that tantheta=(ksin...

    Text Solution

    |

  15. If asintheta=bsin(theta+(2pi)/(3))=csin(theta+(4pi)/(3)) then prove th...

    Text Solution

    |

  16. If cosalpha=(-5)/(13),(pi)/(2)ltalphaltpiandtanbeta=(4)/(3),piltbetalt...

    Text Solution

    |

  17. Solve : sqrt(2)sectheta+tantheta=1

    Text Solution

    |

  18. Solve : 4costheta-3sectheta=tantheta

    Text Solution

    |

  19. If costheta=(cosalphacosbeta)/(1-sinalphasinbeta) then prove that ta...

    Text Solution

    |

  20. If tanA=(1)/(7) and tanB=(1)/(3) then show that cos(2A)=sin(4B).

    Text Solution

    |