Home
Class 11
MATHS
The value of tan6^0tan42^0tan66^0tan78^0...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate : tan7^0tan23^0tan60^0tan67^0tan83^0

The value of (tan7 0^0-tan2 0^0)/(tan5 0^0)=

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

The value of tan9^@-tan2 7^@-tan6 3^@+tan8 1^@ is equal to

Evaluate : tan35^0tan40^0tan45^0tan50^0tan55^0

tan100^0+tan125^0+tan100^0tan125^0 is equal to 0 (b) 1/2 (c) -1 (d) 1

If A =tan6^0tan42^0 and B=cot66^0cot78^0 , then

tan 6 ^(@) tan 42 ^(@) tan 66 ^(@) tan 78^(@) =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

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that: (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(ta...

    Text Solution

    |

  2. If theta=3alphaand sintheta=a/(sqrt(a^2+b^2)), the value of the expre...

    Text Solution

    |

  3. The value of tan6^0tan42^0tan66^0tan78^0 is (a)1 (b) 1/2 (c) 1/...

    Text Solution

    |

  4. In triangle A B C , if angle is 90^0 and the area of triangle is 30 sq...

    Text Solution

    |

  5. If sqrt(2)cos A=cos B+cos^3B ,a n dsqrt(2)sinA=sinB-sin^3Bt h e nsin(A...

    Text Solution

    |

  6. In a right angled triangle the hypotenuse is 2sqrt(2) times the perpe...

    Text Solution

    |

  7. A circular ring of radius 3cm hangs horizontally from a point 4 cm ve...

    Text Solution

    |

  8. If tanbeta=2sinalphasingammacos e c(alpha+gamma), then cotalpha,cotbe...

    Text Solution

    |

  9. tan9-tan27-tan63+tan81=4

    Text Solution

    |

  10. Let x=sin1^0, then the value of the expression. 1/(cos0^0dotcos1^0)+...

    Text Solution

    |

  11. If (tan3A)/(tanA)=k(k!=1) then which of the following is not true? (...

    Text Solution

    |

  12. If x in (pi,(3pi)/2),then 4cos^2(pi/4-x/2)+sqrt(4sin^4x+sin^2 2x) is ...

    Text Solution

    |

  13. If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tan(x/2)xxcot(y...

    Text Solution

    |

  14. If theta is eliminated from the equations x=a"cos"(theta-alpha) and y=...

    Text Solution

    |

  15. If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to ...

    Text Solution

    |

  16. Given that (1+sqrt(1+x))tany=1+sqrt(1-x) . Then sin4y is equal to (...

    Text Solution

    |

  17. If cos2B=(cos(A+C))/("cos"(A-C)), then tanA ,t a n B ,tanC are in (...

    Text Solution

    |

  18. If ("cos"(x-y))/("cos"(x+y))+("cos"(z+t))/(cos(z-t))=0 , then the val...

    Text Solution

    |

  19. For all theta in [ 0, pi//2], show that cos ( sin theta) gt sin (cos...

    Text Solution

    |

  20. Given alpha+beta-gamma=pi, prove that sin^2alpha+sin^2beta-sin^2gamma...

    Text Solution

    |