Home
Class 12
MATHS
If m and n are positive integers satisfy...

If `m` and `n` are positive integers satisfying `1+cos2theta+cos4theta+cos6theta+cos8theta+cos10theta=(cosmtheta.sinntheta)/sintheta` then `(m+n)` is equal to

A

9

B

10

C

11

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If m and n are positive integers satisfying 1+cos2 theta+cos4 theta+cos6 theta+cos8 theta+cos10 theta=(cos m theta*sin n theta)/(sin theta) then (m+n) is equal to

4cos6 theta cos4 theta cos2 theta=

1+cos2 theta+cos4 theta+cos6 theta=

cos m theta-sin n theta=0

cos theta-cos3 theta+cos5 theta-cos7 theta=4sin theta sin4 theta cos2 theta

cos 3theta+cos 5theta+cos 7theta+cos 9theta=4 cos theta cos 2theta cos 6theta .

(3+cos4 theta)cos2 theta=4(cos^(8)theta-sin^(8)theta)

Smallest positive value of theta satisfying 8sin theta cos2 theta sin3 theta cos4 theta=cos6 theta is

cos theta+cos2 theta+cos3 theta+......+cos(n-1)theta+cos n theta=

If : cos theta+sintheta=1, "then" : cos theta-sintheta

ALLEN-COMPOUND ANGLES-EX-02
  1. If x +y= 3-cos4theta and x-y=4sin2theta then

    Text Solution

    |

  2. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  3. If A=sin(2pi)/(7)+sin(4pi)/(7)+sin(8pi)/(7) and B=cos(2pi)/(7)+ cos(8p...

    Text Solution

    |

  4. If cos alpha=(2cos beta-1)/(2-cos beta) then tan (alpha/2)*cot (beta/2...

    Text Solution

    |

  5. If (cos3x)/(cosx)=1/3 for some angle x,0<=x<=pi/2 then the value of (s...

    Text Solution

    |

  6. If (5pi)/(2)ltxlt3pi, then the value of the expression (sqrt(1-sinx)+s...

    Text Solution

    |

  7. As shown in the figure AD is the altitude on BC and AD produced meets ...

    Text Solution

    |

  8. The exact value of (96sin80^0sin65^0sin35^0)/(sin20^0+s in 50^0+s in 1...

    Text Solution

    |

  9. The value of cotx+cot(60^@+x)+cot(120^@+x) is equal to

    Text Solution

    |

  10. The value of cosec(pi/18)-sqrt3sec(pi/18) is a

    Text Solution

    |

  11. If tanx+tany=25 and cotx+coty=30 then the value of tan(x+y) is

    Text Solution

    |

  12. If cos(alpha+beta) + sin(alpha-beta) = 0 and 2010tanbeta + 1 = 0 then ...

    Text Solution

    |

  13. In a right angled triangle the hypotenuse is 2sqrt2 times the perpendi...

    Text Solution

    |

  14. The value of cot7(1^0)/2+tan67(1^(@))/2-cot67(1^(@))/2-tan7 10/2 is

    Text Solution

    |

  15. If m and n are positive integers satisfying 1+cos2theta+cos4theta+cos6...

    Text Solution

    |

  16. P(x)=(x-cos36^@)(x-cos84^@)(x-cos156^@) then coefficient of x^2 is

    Text Solution

    |

  17. P(x)=(x-cos36^@)(x-cos84^@)(x-cos156^@) then coefficient of x^2 is

    Text Solution

    |

  18. P(x)=(x-cos36^@)(x-cos84^@)(x-cos156^@) then coefficient of x^2 is

    Text Solution

    |

  19. Let y=(cosx+cos2x+cos3x+cos4x+cos5x+cos6x+cos7x)/(sinx+sin2x+sin3x+sin...

    Text Solution

    |

  20. Two parallel chords are drawn on the same side of the centre of a circ...

    Text Solution

    |