Home
Class 12
MATHS
If 10sin^(4)alpha+15cos^(4)alpha=6 and ...

If `10sin^(4)alpha+15cos^(4)alpha=6` and the value of `9"cosec"^(4)alpha+8 sec^(4) alpha` is S, then find the value of `(S)/(25)`.

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|5 Videos

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

Similar Questions

Explore conceptually related problems

If 10sin^(4)alpha+15cos^(4)alpha=6 then the value of 9cos ec^(4)alpha+8sec^(4)alpha-75 is

If 10sin^(4)alpha+15cos^(4)alpha=6, find the value of 27cos ec^(6)alpha+8sec^(6)alpha

If 10sin^(4)alpha+15cos^(4)alpha=6, then find the value of 27cos ec^(6)alpha+8sec^(6)alpha.

If 15 sin^(4)alpha+10cos^(4)alpha=6 , then the value of 8 cosec^(6)alpha+27 sec^(6)alpha is

If 10sin^(4)a+15cos^(4)a=6, find the value of 27cos ec^(6)a+8sec^(6)a

If 15sin^4alpha+10cos^4alpha=6 then find the value of 8cosec^6alpha+27sec^6alpha .

If sin^(2)alpha+ sin alpha=1 , then the value of cos^(4) alpha+ cos^(2) alpha is ________

If 10sin^(4)alpha+15cos^(4)alpha=6, then 81cos ec^(8)alpha+16sec^(8)alpha is equal to

If cos^(4)alpha - sin^(4)alpha = 2/3 , then the value of 2 cos^(2)theta is:

VK JAISWAL-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 th...

    Text Solution

    |

  2. A(1)A(2)A(3)………A(18) is a regular 18 sided polygon. B is an external p...

    Text Solution

    |

  3. If 10sin^(4)alpha+15cos^(4)alpha=6 and the value of 9"cosec"^(4)alpha...

    Text Solution

    |

  4. The value of (1+tan\ (3pi)/8*tan\ pi/8)+(1+tan\ (5pi)/8*tan\ (3pi)/8)+...

    Text Solution

    |

  5. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

    Text Solution

    |

  6. Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(...

    Text Solution

    |

  7. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

    Text Solution

    |

  8. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

    Text Solution

    |

  9. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

    Text Solution

    |

  10. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

    Text Solution

    |

  11. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

    Text Solution

    |

  12. If x=sec theta-tan theta and y=cosectheta+cot theta,then Find y-x-xy...

    Text Solution

    |

  13. If cos18^(@)-sin18^(@)=sqrt(x)sin27^(@), then x=

    Text Solution

    |

  14. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

    Text Solution

    |

  15. Q. x=a satisfy the equation 3^(sin 2x+2 cos^2 x)+3^(1-sin 2x+2 sin^ 2x...

    Text Solution

    |

  16. The minimum value of (sintheta+c o s e ctheta)^2+(costheta+sectheta)^...

    Text Solution

    |

  17. If tan20^(@)+tan40^(@)+tan80^(@)-tan60^(@)=lambda sin40^(@), then lamb...

    Text Solution

    |

  18. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

    Text Solution

    |

  19. If cos20^(@)+2sin^(2)55^(@)=1+sqrt(2)sinK^(@), K in (0, 90)," then "K=

    Text Solution

    |

  20. If the value of cos((2pi)/7) + cos((4pi)/7)+cos((6pi)/7)+cos((7pi/7))=...

    Text Solution

    |