Home
Class 12
MATHS
Show that tan1^0tan2^0tan89^0=1...

Show that `tan1^0tan2^0tan89^0=1`

A

0

B

`-1`

C

1

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Prove that tan20^0tan40^0tan80^0=tan60^0

Prove that: tan20^0tan40^0tan80^0=tan60^0

Prove that: tan10^0tan15^0tan75^0tan80^0=1 tan1^0tan2^0tan3^0.....tan89^0=1 cos1^0cos2^0cos3^0.......cos180^0=0

Prove that: tan6^0tan42^0tan66^0tan78^0=1.

Prove that tan70^0=2tan50^0+tan20^0

Prove that: t a n 20^0tan40^0tan60^0tan80^0=3

Show that tan48^(@) tan 23^(@) tan 42^(@) tan 67^(@) =1 .

The value of "tan"1^0tan2^0t a n3^0........t a n 89^0 is a. 0 b. 1 c. 1//2 d. not defined

The value of tan6^0tan42^0tan66^0tan78^0 is (a)1 (b) 1/2 (c) 1/4 (d) 1/8

Prove that : tan 20^0 tan 40^0 tan 60^0 tan 80^0 =3

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If cos(theta-alpha)=a and cos(theta-beta)=b then the value of sin^(2)(...

    Text Solution

    |

  2. If K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)), then the numerical va...

    Text Solution

    |

  3. Show that tan1^0tan2^0tan89^0=1

    Text Solution

    |

  4. If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0<x<pi, then x is eq...

    Text Solution

    |

  5. If x cosalpha+y sinalpha=2a, x cos beta+y sinbeta=2aand 2sin""(alp...

    Text Solution

    |

  6. If tan x =(2b)/ (a- c), y = acos^2 x + 2bsin x cos x + csin^2 x, z=as...

    Text Solution

    |

  7. If alpha+beta+gamma=2pi, then show that tan.alpha/2 + tan.beta/2 + tan...

    Text Solution

    |

  8. If sintheta-costhetalt0, then theta lies between

    Text Solution

    |

  9. Within what limits must A/2 lies if 2sinA/2=-sqrt(1+sinA)-sqrt(1-sinA)...

    Text Solution

    |

  10. If 2cos""(A)/(2)=sqrt(1+sinA)+sqrt(1-sinA), thenA/2 iles between,

    Text Solution

    |

  11. Find the angle theta whose cosine is equal to its tangent.

    Text Solution

    |

  12. Prove that cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(15...

    Text Solution

    |

  13. Prove:cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)co...

    Text Solution

    |

  14. The value of tan 5 theta is

    Text Solution

    |

  15. If costheta=cos alphacosbeta, then tan((theta+alpha)/(2))tan((theta-al...

    Text Solution

    |

  16. If abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek, then the ...

    Text Solution

    |

  17. The value of sin10^@+sin20^@+sin30^@...+sin360^@ is equal to -

    Text Solution

    |

  18. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  19. If A+B=(pi)/(4),then (tanA+1)(tanB+1) is equal to

    Text Solution

    |

  20. If sinA+sinB=a and cosA+cosB=b,then cos(A+B)

    Text Solution

    |