Home
Class 12
MATHS
sin^(2) 20^(@) + sin^(2) 100^@ + sin^(2)...

`sin^(2) 20^(@) + sin^(2) 100^@ + sin^(2) 140^(@) = `

A

`1//2`

B

`3//2`

C

`sqrt(3)//2`

D

`1//sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

sin^(2) 5^(@)+sin^(2) 10^(@) +sin^(2)15^(@)+...+sin^(2) 180^(@)=

The value of sin ^(2) 12 ^(@) + sin ^(2) 12 ^(@) + sin ^(2) 39^(@) + sin ^(2) 48^(@) - sin ^(2) 9^(@) - sin ^(2) 18^(@) is "______"

The vlaue of sin ^(2) 12^(@) + sin ^(@) 21^(@) + sin ^(2) 39^(@) + sin ^(2) 48^(@) - sin ^(2) 9^(@) - sin ^(2) 18^(@) is "______"

Prove that sin^(2)5^(@) +sin^(2)10^(@) + sin^(2)15^(@)+...+sin^(2)90^(@)=(19)/(2)

sin 20^(@) * sin 40^(@) * sin 60^@ * sin 80^(@) =

The value of sin^(2) 46^(0) + sin^(2) 14^(0) + sin 46^(0) sin 14^(0) =

sin^(2)22^(@)+sin^(2)38^(@)+sin22^(@) sin38^(@)=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. cos^(2) A + cos^(2) ( 120^(@) + A)+ cos^(2) (120^(@) - A )=

    Text Solution

    |

  2. cos^(3) theta + cos^(3) ( 120^(@) +theta ) + cos^(3) (120^(@) - theta ...

    Text Solution

    |

  3. sin^(2) 20^(@) + sin^(2) 100^@ + sin^(2) 140^(@) =

    Text Solution

    |

  4. cos^(3) 20^(@) + cos^(3) 100^(@) + cos^(3) 140^(@) =

    Text Solution

    |

  5. cos^(2)(theta-45^(@))+cos^(2)(theta+15^(@)-cos^(2)(theta-15^(@))=

    Text Solution

    |

  6. If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , th...

    Text Solution

    |

  7. Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)...

    Text Solution

    |

  8. Show that cos^4""pi/8+cos^4""(3pi)/8+cos^4""(5pi)/8+cos^4""(7pi)/8=3/2

    Text Solution

    |

  9. tan ""7(1^@)/(2)=

    Text Solution

    |

  10. tan 82(1^(@))/(2)=

    Text Solution

    |

  11. If sin 18^(@)=(sqrt(5)-1)/(4) , then sin 81^(@)=

    Text Solution

    |

  12. Prove that (1)/(cos 290^(@))+(1)/(sqrt3 sin 250^(@) )=(4)/(sqrt3)

    Text Solution

    |

  13. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

    Text Solution

    |

  14. Prove that sqrt3 csc 20 ^(@)- sec 20^(@)=4

    Text Solution

    |

  15. A quadratic equation whose roots are sin^(2) 18^(@) , cos^(2) 36^(@) ...

    Text Solution

    |

  16. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

    Text Solution

    |

  17. If x+y+z =xyz, then sum(2x)/(1-x^(2))=

    Text Solution

    |

  18. If x+y+z=xyz , " then " sum(3x-x^(3))/(1-3x^(2))=

    Text Solution

    |

  19. If xy+yz+zx=1 , then sum(x+y)/(1-xy)=

    Text Solution

    |

  20. If xy+yz+zx=1 , then sum(2x-)/(1-x^(2))=

    Text Solution

    |