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

    ALLEN|Exercise EXERCISE (JM)|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
  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 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:-

Simplify: (sin8 theta cos theta-sin6 theta cos3 theta)/(cos2 theta cos theta-sin3 theta sin4 theta)

Prove that a) (sin3A + sinA)sinA+(cos3A-cosA) cosA=0 b) cos20^(@)cos40^(@)cos80^(@)=1/8 c) (sin8thetacostheta-sin6thetacos3theta)/(cos2thetacostheta-sin3thetasin4theta) = tan2theta

If theta=7.5^(@) Find the value of quad sin8 theta*cos theta-sin6 theta cos3 thetacos2 theta*cos theta-sin3 theta*sin4 theta

If (sin8theta.costheta-sin6theta.cos3theta)/(cos2theta.costheta-sin3theta.sin4theta)=tan(Ktheta) then: K=... (a) 1 (b)2 (c) 3 (d) none of these

prove that- (sinthetacos^3theta+sin^3thetacostheta)/(sinthetacostheta)=1

sin 4theta=4sin thetacos^3 theta-4costhetasin^3theta

Solve 4sintheta sin2thetasin4theta=sin3theta

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. If tanA=-1/2 and tanB=-1/3, (where A, B gt 0), then A+B can be

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If 3sinalpha=5sinbeta, then (tan((alpha+beta)/2))/(tan((alpha-beta)/2)...

    Text Solution

    |

  5. (sin(A-C)+2sinA+sin(A+C))/(sin(B-C)+2sinB+sin(B+C)) is equal to-

    Text Solution

    |

  6. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=

    Text Solution

    |

  7. If A=tan6^0tan42^0 and B=cot66^0cot78^0 , then

    Text Solution

    |

  8. If x=ycos((2pi)/3)=zcos((4pi)/3), then xy+yz+zx=

    Text Solution

    |

  9. If tanalpha=(1+2^(-x))^(-1), tanbeta=(1+2^(x+1))^(-1), then alpha+beta...

    Text Solution

    |

  10. If tanA+tanB+tanC=tanA.tanB.tanC, then-

    Text Solution

    |

  11. The value of sin10^(@)+2sin20^(@)+sin30^(@)+….+sin360^(@) is equal to

    Text Solution

    |

  12. The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

    Text Solution

    |

  13. If f(x)=sin(3x)/sin x,x!=npi, then the range of values of f(x) for ...

    Text Solution

    |

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

    Text Solution

    |

  15. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Minimum value of the expression cos^2theta-(6 sintheta cos theta) + 3 ...

    Text Solution

    |

  19. The general solution of tan3x=1 is

    Text Solution

    |

  20. If 2tan^(2)theta=sec^(2)theta, then the general solution of theta-

    Text Solution

    |