Home
Class 11
MATHS
If tantheta=sqrt(a/b)where a , b are p...

If `tantheta=sqrt(a/b)`where `a , b ` are positive reals then the value of `sinthetasec^7theta+costheta cosec^7theta` is- a.`((a+b)^3(a^4+b^4))/((a b)^(7//2))` b. `((a+b)^3(a^4-b^4))/((a b)^(7//2))` c.`((a+b)^3(b^4-a^4))/((a b)^(7//2))` d. `((a+b)^3(a^4+b^4))/((a b)^(7//2))`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|86 Videos

Similar Questions

Explore conceptually related problems

3a^7-b-81a^4b^4

If a/b=3/4 then find the value of 7a-4b:3a+b .

What is (1)/(a-b) -(1)/(a+b) -(2b)/(a^(2)+b^(2))-(4b^(3))/(a^(4)+b^(4)) -(8b^(7))/(a^(8)-b^(8)) equal to ?

If tan theta=(3)/(4), then cos^(2)theta-sin^(2)theta=(7)/(25)(b)1(c)-(7)/(25) (d) (4)/(25)

sqrt(a^3b^(-2/3)c^(7/6)) div sqrt(a^4b^-1c^(-5/4))

If a a n d b are positive integers, a > b and (a+b)^2-(a-b)^2> 29 , then the smallest value of a is 3 (b) 4 (c) 6 (d) 7

If a^(3) =1+7, 3^(3) = 1+7+b, 4^(3) = 1+7 +c , then the value of a+ b+ c is

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. The expression (sin 22^0cos8^0+cos 158^0cos98^0)/(sin 23^0cos7^0+cos 1...

    Text Solution

    |

  2. The two legs of a right triangle are sin theta +sin ((3pi)/2-theta) an...

    Text Solution

    |

  3. If tantheta=sqrt(a/b)where a , b are positive reals then the value o...

    Text Solution

    |

  4. The expression (sin(alpha+theta)-"sin"(alpha-theta))/(cos(beta-theta)-...

    Text Solution

    |

  5. (The tangents of two acute angles are 3 and 2, The sine of twice their...

    Text Solution

    |

  6. Exact value of cos 20^0+2sin^2\ \ 55^0-sqrt(2)sin65^0\ is- a.1 b. 1/(...

    Text Solution

    |

  7. If cos(theta+phi)=mcos(theta-phi) ,then tantheta is equal to a.((1+m)...

    Text Solution

    |

  8. If sintheta+cosectheta=2 , then the value of sin^8theta+cosec^8theta i...

    Text Solution

    |

  9. If the expression 4sin5alphacos3alphacos2alpha s expressed as the ...

    Text Solution

    |

  10. find the value of the expression 3[sin^4(3pi/2-alpha)+sin^4(3pi+alph...

    Text Solution

    |

  11. If costheta=1/2(a+1/a)\ t h e n\ cos 3theta in term of ' a^(prime)= a...

    Text Solution

    |

  12. The product cot123^@*cot133^@*cot137^@*cot147^@, when simplified is e...

    Text Solution

    |

  13. If A+B+C=pi\ &sin(A+C/2)=ksinC/2, t h e ntanA/2tanB/2= a.(k-1)/(k+1) ...

    Text Solution

    |

  14. The value of the expression (1-4sin 10^0\ sin 70^0)/(2sin 10^0\ ) is-...

    Text Solution

    |

  15. Which of the following number (s) is/are rational ? a.sin 15^0 b....

    Text Solution

    |

  16. If alpha+beta+gamma=2pi,\ then- a.tanalpha/2+(tan\ beta)/2+tangamma...

    Text Solution

    |

  17. If A and C are two angles such that A+C=(3pi)/4 then (1+cotA)(1+cotC)=

    Text Solution

    |

  18. (log)(t1)(4sin9^0cos9^0)w h e r e\ t1=4sin 63^0cos 63^0\ e q u a l s ...

    Text Solution

    |

  19. l=((cot^2x.cos^2x)/(cot^2x-cos^2x))^2 and m=a^(log(sqrt(a))[2cos(y/2)]...

    Text Solution

    |

  20. If (a+b)tan(theta-varphi)=(a-b)tan(theta+varphi),\ t h e n(sin(2theta)...

    Text Solution

    |