Home
Class 11
MATHS
Prove that : sin^(2)((pi)/(6))+cos^(2)...

Prove that :
`sin^(2)((pi)/(6))+cos^(2)((pi)/(3))-tan^(2)((pi)/(4))=-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 3.4|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 3.5|16 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 3.2|10 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

Prove that : 2sin^(2)((pi)/(6))+coesec^(2)((7pi)/(6))cos^(2)((pi)/(3))=(3)/(2)

Prove that : 2sin^(2)((3pi)/(4))+2cos^(2)((pi)/(4))+2sec^(2)((pi)/(3))=10

Prove that : cot^(2)((pi)/(6))+cosec((5pi)/(6))+3tan^(2)((pi)/(6))=6

Prove that 2sin^(2)""(pi)/(6)+cosec^(2)""(7pi)/(6) cos^(2)""(pi)/(3)=(3)/(2)

Prove that, sin^(2)((pi)/(18))+sin^(2)((pi)/(9))+sin^(2)((7pi)/(18))+sin^(2)((4pi)/(9))=2

Prove that, sin((8pi)/(3))cos((23pi)/(6))+cos((13pi)/(3))sin((35pi)/(6))=(1)/(2)

Prove that, 3sin((pi)/(6))sec((pi)/(3))-4sin((5pi)/(6))cot((pi)/(4))=1 .

Prove that, sin^(2)((pi)/(8)+(A)/(2))-sin^(2)((pi)/(8)-(A)/(2))=(1)/(sqrt(2))sinA

cos^(2)((pi)/(12))+cos^(2)((3pi)/(12))+cos^(2)((5pi)/(12))= …………

Prove that, cos^(2)x+cos^(2)(x+(pi)/(3))+cos^(2)(x-(pi)/(3))=(3)/(2) .

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -EXERCISE 3.3
  1. Prove that : sin^(2)((pi)/(6))+cos^(2)((pi)/(3))-tan^(2)((pi)/(4))=-...

    Text Solution

    |

  2. Prove that : 2sin^(2)((pi)/(6))+coesec^(2)((7pi)/(6))cos^(2)((pi)/(3...

    Text Solution

    |

  3. Prove that : cot^(2)((pi)/(6))+cosec((5pi)/(6))+3tan^(2)((pi)/(6))=6

    Text Solution

    |

  4. Prove that : 2sin^(2)((3pi)/(4))+2cos^(2)((pi)/(4))+2sec^(2)((pi)/(3...

    Text Solution

    |

  5. Find the value of : sin(75^(@))

    Text Solution

    |

  6. Find the value of : tan(15^(@))

    Text Solution

    |

  7. Prove that cos((pi)/(4)-x)cos((pi)/(4)-y)-sin((pi)/(4)-x)sin((pi)/(4...

    Text Solution

    |

  8. Prove that (tan((pi)/(4)+x))/(tan((pi)/(4)-x))=((1+tanx)/(1-tanx))^(...

    Text Solution

    |

  9. Prove that (cos(pi+x)cos(-x))/(sin(pi-x)cos((pi)/(2)+x))=cot^(2)x

    Text Solution

    |

  10. Prove that cos((3pi)/(2)+x)cos(2pi+x)[cot((3pi)/(2)-x)+cot(2pi+x)]=1

    Text Solution

    |

  11. Prove that sin(n+1)xsin(n+2)x+cos(n+1)xcos(n+2)x=cosx

    Text Solution

    |

  12. Prove that cos((3pi)/(4)+x)-cos((3pi)/(4)-x)=-sqrt(2)sinx

    Text Solution

    |

  13. Prove that sin^(2)6x-sin^(2)4x=sin2xsin10x

    Text Solution

    |

  14. Prove that cos^(2)2x-cos^(2)6x=sin4xsin8x

    Text Solution

    |

  15. Prove that sin(2x)+2sin(4x)+sin(6x)=4cos^(2)xsin4x

    Text Solution

    |

  16. Prove that cot4x(sin5x+sin3x)=cotx(sin5x-sin3x)

    Text Solution

    |

  17. Prove that (cos(9x)-cos(5x))/(sin(17x)-sin(3x))=-(sin(2x))/(cos(10x)...

    Text Solution

    |

  18. Prove that (sin5x+sin3x)/(cos5x+cos3x)=tan4x

    Text Solution

    |

  19. Prove that (sinx-siny)/(cosx+cosy)=tan((x-y)/(2))

    Text Solution

    |

  20. Prove that (sinx+sin3x)/(cosx+cos3x)=tan2x

    Text Solution

    |