Home
Class 11
MATHS
If 10sin^4alpha+15cos^4alpha=6 , find th...

If `10sin^4alpha+15cos^4alpha=6` , find the value of `27cos e c^6alpha+8s e c^6alpha` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

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

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

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) .

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

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

If sin alpha -cos alpha = m , then the value of sin^6alpha+cos^6alpha in terms of m is

If alpha = 112^(@) 30' , find the value of sin alpha and cos alpha

If sin alpha cos beta=-(1)/(2) then find the range of values of cos alpha sin beta

If sin alpha.sinbeta - cos alpha.cos beta+1=0 , then find the value of cot alpha.tan beta .

If alpha=\ \ ^4 C_2,\ then find the value of \ ^(alpha)C_2dot

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find sinthetaa n dt a nthetaifcostheta=-(12)/(13)andtheta lies in the ...

    Text Solution

    |

  2. If (sinA)/(sinB)=pa n d(cosA)/(cosB)=q , find tanAa n dtanBdot

    Text Solution

    |

  3. If 10sin^4alpha+15cos^4alpha=6 , find the value of 27cos e c^6alpha+8s...

    Text Solution

    |

  4. If a=s e ctheta-t a ntheta and b=cos e ctheta+cottheta , then show tha...

    Text Solution

    |

  5. A solid sphere of radius R/2 is cut out of a solid sphere of radius R ...

    Text Solution

    |

  6. If Tn=sin^ntheta+cos^ntheta , prove that (i) (T3-T5)/(T1)=(T5-T7)/(T...

    Text Solution

    |

  7. Prove that: sqrt((1-sintheta)/(1+s intheta))+sqrt((1+sintheta)/(1-s in...

    Text Solution

    |

  8. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

    Text Solution

    |

  9. If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(...

    Text Solution

    |

  10. If t a ntheta+sintheta=m and tantheta-sintheta=n , show m^(2)-n^2=4sqr...

    Text Solution

    |

  11. Prove that: s e c^2theta+cos e c^2thetageq4 .

    Text Solution

    |

  12. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

    Text Solution

    |

  13. Prove that: 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta...

    Text Solution

    |

  14. Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=...

    Text Solution

    |

  15. If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5c...

    Text Solution

    |

  16. Is the following inequality correct? sin1^0> sin1

    Text Solution

    |

  17. If f(x)=cos^2x+s e c^2x ,t h e n (a) f(x)<1 (b) f(x)=1 (c) 2ltf(x)<...

    Text Solution

    |

  18. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= (a) x ,1/x (b) 2x ...

    Text Solution

    |

  19. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

    Text Solution

    |

  20. If cos e ctheta+cottheta=(11)/2 , then t a ntheta= (21)/(22) (b) (15...

    Text Solution

    |