Home
Class 12
MATHS
Let a=sin10^(@), b =sin50^(@), c=sin70^(...

Let `a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((1)/(a)+(1)/(b)-(1)/(c ))` is equal to

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|5 Videos
  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos
  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

Similar Questions

Explore conceptually related problems

Prove : sin 10^(@)sin50^(@)sin70^(@) = 1//8 .

sin 50 ^(@) - sin 70^(@) + sin 10^(@) A)-1B)0C) sin 5^(@) D) -sin 5^(@)

If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then a sqrt(1-a^(2))+b sqrt(1-b^(2))+c sqrt(1-c^(2)) is equal to a+b+c( b )a^(2)b^(2)c^(2)2abc(d)4abc

In /_ABC if cos A cos B+sin A sin B sin C=1, then the value of (sin^(2)A)/(sin^(2)B)+2(sin^(2)B)/(sin^(2)C)+(sin^(2)C)/(sin^(2)A) is equal to

In a triangle ABC,if (2(sin B-sin C))/(cos B+cos C)=(sin A)/(1-cos A) then the value of (b)/(c) is equal to

If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of ^( value of )+b sqrt((1-b^(2)))+sqrt((1-c^(2))) will be (A) 2abc(B)abc(C)(1)/(2)abc(D)(1)/(3)abc

If a sin^(-1)x-b cos^(-1)x=c, then a sin^(-1)x+b cos^(-1) equal to

In triangle ABC, if (2(sin B-sin C))/((cos B+cos C))=(sin A)/(1-cos A) then the value of (b)/(c). is equal to

In the triangle ABC if sin C cos15^(@)cos A+sin15^(@)sin A=1 then sin C+tan A tan B is equal to

In a triangle ABC, if A-B=120^(@)andsin((A)/(2))sin((B)/(2))sin((C)/(2))=(1)/(32) then the value of 8cos C is

VK JAISWAL-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

    Text Solution

    |

  2. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

    Text Solution

    |

  3. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

    Text Solution

    |

  4. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

    Text Solution

    |

  5. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

    Text Solution

    |

  6. If x=sec theta-tan theta and y=cosectheta+cot theta,then Find y-x-xy...

    Text Solution

    |

  7. If cos18^(@)-sin18^(@)=sqrt(x)sin27^(@), then x=

    Text Solution

    |

  8. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

    Text Solution

    |

  9. Q. x=a satisfy the equation 3^(sin 2x+2 cos^2 x)+3^(1-sin 2x+2 sin^ 2x...

    Text Solution

    |

  10. The minimum value of (sintheta+c o s e ctheta)^2+(costheta+sectheta)^...

    Text Solution

    |

  11. If tan20^(@)+tan40^(@)+tan80^(@)-tan60^(@)=lambda sin40^(@), then lamb...

    Text Solution

    |

  12. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

    Text Solution

    |

  13. If cos20^(@)+2sin^(2)55^(@)=1+sqrt(2)sinK^(@), K in (0, 90)," then "K=

    Text Solution

    |

  14. If the value of cos((2pi)/7) + cos((4pi)/7)+cos((6pi)/7)+cos((7pi/7))=...

    Text Solution

    |

  15. Let alpha be the smallest integral value of x, x>0 such that tan 19x=(...

    Text Solution

    |

  16. Find the value of the expression (sin20^@(4cos20^@+1))/(cos20^@cos30^@...

    Text Solution

    |

  17. If the value of cos((2pi)/7) + cos((4pi)/7)+cos((6pi)/7)+cos((7pi/7))=...

    Text Solution

    |

  18. If cosA=(3)/(4) and k sin ((A)/(2))sin((5A)/(2))=(11)/(8). Find k.

    Text Solution

    |

  19. Find the least value of the expression 3sin^(2)x+4 cos^(2)x.

    Text Solution

    |

  20. Q. If tan alpha and tan beta are the roots of equation x^2-12x-3=0, th...

    Text Solution

    |