Home
Class 11
MATHS
Prove that: 2sin^2frac (pi)(6)+cosec^2fr...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Prove that: cot^2frac (pi)(6)+cosecfrac (5pi)(6)+3tan^2frac (pi)(6)=6

Prove that : 2 sin^2 frac (3pi)(4)+ 2cos^2 frac (pi)(4) +2 cos^2 frac (pi)(3)= 5/2 .

Prove that : cos^2 frac (pi)(8)+ cos^2 frac (3 pi)(8)+ cos^2 frac (5 pi)(8) + cos^2 frac (7 pi)(8) =2 .

Prove that : sin^2 frac (pi)(8)+ sin^2 frac (3pi)(8)+ sin^2 frac (5pi)(8)+sin^2 frac (7pi)(8)=2 .

Prove that : sin^4 frac (pi)(8)+ sin^4 frac (3pi)(8)+sin^4 frac (5pi)(8)+sin^4 frac (7pi)(8)=3/2 .

Prove that : 3 cos^2 frac (pi)(4)+ sec frac (2 pi)(3)+ 5 tan^2 frac (pi)(3) = 29/2 .

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

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : (cos(pi+theta)cos(-theta))/(sin (pi-theta) cos (pi/2+ the...

    Text Solution

    |

  2. Prove that : sin^2 frac (pi)(6)+ cos^2 frac(pi)(3)- tan^2 frac(pi)(4)=...

    Text Solution

    |

  3. Prove that: 2sin^2frac (pi)(6)+cosec^2frac (7pi)(6)cos^2frac (pi)(3)=3...

    Text Solution

    |

  4. Prove that: cot^2frac (pi)(6)+cosecfrac (5pi)(6)+3tan^2frac (pi)(6)=6

    Text Solution

    |

  5. Prove that : 2 sin^2 frac (3pi)(4)+ 2cos^2 frac (pi)(4) +2 cos^2 frac...

    Text Solution

    |

  6. Prove that : 3 sin frac (pi)(6) sec frac (pi)(3)-4 sin frac (5pi)(6) c...

    Text Solution

    |

  7. Prove that : (cos(pi+theta)cos(-theta))/(sin (pi-theta) cos (pi/2+ the...

    Text Solution

    |

  8. Prove the following: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x...

    Text Solution

    |

  9. Find ‘x’ from the equation : cosec (90^@ -theta) - x sin (90^@- theta)...

    Text Solution

    |

  10. Find ‘x’ from the equation : cosec (90^@ -theta) - x sin (90^@- theta)...

    Text Solution

    |

  11. In any quadrilateral ABCD, prove that: sin (A + B) + sin(C +D)=0.

    Text Solution

    |

  12. Find all the values of theta satisfying 0lt theta lt pi and tan^2 the...

    Text Solution

    |

  13. Find the period of the following function: sin 2x.

    Text Solution

    |

  14. Find the period of the following function: cos 3x.

    Text Solution

    |

  15. Find the period of the following function: tan 2x.

    Text Solution

    |

  16. If A, B, C and D be the angles of a cyclic quadrilateral, taken in ord...

    Text Solution

    |

  17. If x=(11 pi)/4, prove that : sin^2 x- cos^2 x+2 tan x- sec^2 x=1.

    Text Solution

    |

  18. If 8 theta=pi, prove that cos theta+ cos 7 theta=0.

    Text Solution

    |

  19. If B + C = 60^@, show that : sin (120^@- B) = sin (120^@ -C) .

    Text Solution

    |

  20. Prove that : sin^2 frac (pi)(8)+ sin^2 frac (3pi)(8)+ sin^2 frac (5pi)...

    Text Solution

    |