Home
Class 11
MATHS
The expression (sin8thetacostheta-sin6th...

The expression `(sin8thetacostheta-sin6thetacos3theta)/(cos2thetacostheta-sin3thetasin4theta)` is equals-

A

`tantheta`

B

`tan2theta`

C

`sin2theta`

D

`cos2theta`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (S-1)|41 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 12|1 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The expression (sin 8thetacos theta-sin6 thetacos 3 theta)/(cos 2 thetacos theta-sin 3 thetasin 4 theta) is equals:-

(sin 3theta+sin5theta+sin7theta+sin9theta)/(cos 3theta+cos 5theta+cos 7theta+cos9theta) is equal to

(sin5theta+sin2theta-sin theta)/(cos5theta+2cos3theta+2cos^(2)theta+costheta) is equal to

(sin7theta+6sin5theta+17sin3theta+12sintheta)/(sin6theta+5sin4theta+12sin2theta) is equal to

Solve 4sintheta sin2thetasin4theta=sin3theta

If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta sin13theta)/(sin theta cos 2theta+sin3theta cos 6theta+sin4theta cos13theta)=tan k theta , where k in N . Find the value of k.

Prove that costhetacos""(theta)/(2)-cos3 thetacos""(9theta)/(2)=sin7thetasin8theta .

show that cos2thetacos(theta/2)-cos3thetacos((9theta)/2)=sin5thetasin((5theta)/2)

Solve sin^3thetacostheta-cos^3thetasintheta=1/4dot

Solve sin^3thetacostheta-cos^3thetasintheta=1/4dot

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. about to only mathematics

    Text Solution

    |

  2. The value of "cos"^(2)48^(@)-"sin"^(2)12^(@) is

    Text Solution

    |

  3. The expression (sin8thetacostheta-sin6thetacos3theta)/(cos2thetacosthe...

    Text Solution

    |

  4. Prove that: (sin(A-C)+2s inA+"sin"("A"+"C")/("sin"("B"-"C")+2sinB+"sin...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. If A=tan6^(@)tan42^(@)and B=cot66^(@)cot78^(@),then

    Text Solution

    |

  7. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

    Text Solution

    |

  8. If t a nalpha=1/(1+2^(-x))a n dt a nbeta=1/(1+2^(x+1)), then write the...

    Text Solution

    |

  9. If tan alpha + tanB + tanC = tanA tanB tanC, then

    Text Solution

    |

  10. If f(x)=(sin 3x)/(sin x), x != n pi , then find range of f(x)

    Text Solution

    |

  11. If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0, then cot((x+y)/2...

    Text Solution

    |

  12. The vlaue of sin""(pi)/(14)sin""(3pi)/(14)sin""(5pi)/(14)sin""(7pi)/(1...

    Text Solution

    |

  13. Maximum and minimum value of 2sin^(2)theta-3sintheta+2 is-

    Text Solution

    |

  14. For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+...

    Text Solution

    |

  15. Find the maximum and minimum value of cos^(2) theta- 6 sin theta cos ...

    Text Solution

    |

  16. The general solution of tan3x =1 is

    Text Solution

    |

  17. The number of solutions of the equation tan^2x-sec^10x+1=0 in (0,10) i...

    Text Solution

    |

  18. The solution set of (5+4 "cos" theta) (2 "cos" theta +1) =0 in the int...

    Text Solution

    |

  19. If 0 le x le 3 pi , 0 le y le 3 pi and cos x * sin y=1 , then find t...

    Text Solution

    |

  20. The number of ordered pairs (alpha, beta) where alpha, beta in (-pi, p...

    Text Solution

    |