Home
Class 11
MATHS
Prove that sin 10^(@) " sin " 50^(@) "...

Prove that sin `10^(@) " sin " 50^(@) " sin " 60^(@) " sin " 70^(@) = .(sqrt(3))/(16)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise NCERT EXAMPLES|6 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(a) Short Answer type Question|13 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

Prove that sin10^(@) sin 30^(@) sin 50^(@) sin 70^(@)=1/16

The value of sin 50^(@) - sin 70^(@) + sin 10^(@) is

The value of sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@) is

The value of sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@) is equal to .

Prove that (i) sin 70^(@) cos 10^(@) -cos 70^(@) sin 10^(@) =(sqrt(3))/(2) (ii) cos 50^(@) cos 10^(@) -sin 50^(@) sin 10^(@) =(1)/(2) (ii) cos 80^(@) cos 20^(@) + sin 80^(@) sin 20^(@) =(1)/(2) (iv) sin 36^(@) cos 9^(@) + cos 36^(@) sin 9^(@) =(1)/(sqrt(3))

sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

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

sin50 ^ (@) - sin70 ^ (@) + sin10 ^ (@) = 0

MODERN PUBLICATION-TRIGONOMETRY-FREQUENTLY ASKED QUESTIONS
  1. prove that ((cosA+cosB)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n=2co...

    Text Solution

    |

  2. If sin x+"sin" y=a and cos x+cos y=b, find the values of: (i) "tan...

    Text Solution

    |

  3. Prove that sin 10^(@) " sin " 50^(@) " sin " 60^(@) " sin " 70^(@) ...

    Text Solution

    |

  4. (sin 5x + sin 3x)/(cos 5x + cos 3x) = tan 4x

    Text Solution

    |

  5. Prove that n( " cos " 4x + " cos " 3x + " cos " 2x)/(" sin " 4x +...

    Text Solution

    |

  6. (( sin 7x + sin 5x)+(sin 9x + sin 3x))/((cos 7x + cos 5x)+(cos 9x+ cos...

    Text Solution

    |

  7. Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha...

    Text Solution

    |

  8. If s intheta=n"sin"(theta+2alpha) , prove that tan(theta+alpha)=(1+n)/...

    Text Solution

    |

  9. If alpha+beta+90^0 , find the maximum and minimum values of s inalphas...

    Text Solution

    |

  10. Prove that (tan 5theta + tan 3theta)/(tan 5theta - tan 3theta) = 4 c...

    Text Solution

    |

  11. Find "sin" 2theta when "sin" theta+cos theta=1.

    Text Solution

    |

  12. Prove that: "tan"A+cotA=2"cosec" 2A and deduce that "tan" 75^(@)+co...

    Text Solution

    |

  13. Prove that (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (c...

    Text Solution

    |

  14. If tan (alpha-beta)=(sin 2beta)(3-cos 2beta), then

    Text Solution

    |

  15. Prove that: cos A cos 2A cos 2^(2)A cos 2^(3)A….....cos 2^(n-1)A=("sin...

    Text Solution

    |

  16. If "sin"A=(1)/(2)(x+(1)/(x)),prove that: "sin" 3A+(1)/(2)(x^(3)+(1)...

    Text Solution

    |

  17. Prove that: cos^(2)pi/8 + cos^(2)(3pi)/(8) + cos^(2)(5pi)/(8)+ cos^(...

    Text Solution

    |

  18. Prove that: cos 6x=32 cos^(6)x-48 cos^(4)x+18 cos^(4)x+18 cos^(2)x...

    Text Solution

    |

  19. sqrt2+ sqrt3+sqrt4+sqrt6 is equal to

    Text Solution

    |

  20. Find the value of "tan" 22^(@) 30'.

    Text Solution

    |