Home
Class 11
MATHS
If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, th...

If `(sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5`, then

A

`tan^2 x=2/3`

B

`(sin^8x)/8+ (cos^8x)/27=125`

C

`tan^2 x=1/3`

D

`(sin^8x)/8+ (cos^8x)/27= 2/125` .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If (sin^4x)/2+(cos^4x)/3=1/5 then (a) tan^2x=2/3 (b) (sin^8x)/8+(cos^8x)/(27)=1/(125) (c) tan^2x=1/3 (d) (sin^8x)/8+(cos^8x)/(27)=2/(125)

Solve sin^4(x/3)+cos^4(x/3)>1/2

If y=(sin^(4)x-cos^(4)x+sin^(2) x cos^(2)x)/(sin^(4) x+ cos^(4)x + sin^(2) x cos^(2)x), x in (0, pi/2) , then

Evaluate int(sin^(3)xdx)/((cos^(4)x+3cos^(2)x+1)tan^(-1)(secx+cosx)) .

If (cos^(2)x + 1/(cos^(2) x)) (1+tan^(2) 2y) (3+ sin 3z)=4 , then

If f(x) = (cos^2 x + sin^4 x)/(cos^4x + sin^2 x) , then f(2016) is equal to

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. AB is a vertical pole with B at the ground level and A at the top. A m...

    Text Solution

    |

  2. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  3. If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then

    Text Solution

    |

  4. Let A and B denote the statements A : cos alpha + cos beta + cos gam...

    Text Solution

    |

  5. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  6. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  7. Let ABC be a triangle such that angle ABC =pi/6. If a, b and c denote ...

    Text Solution

    |

  8. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  9. If A=sin^(2)x+cos^(4)x, then for all real x

    Text Solution

    |

  10. The possible values of theta in (0,pi) such that sin (theta)+sin(4 th...

    Text Solution

    |

  11. Prove that 3/4 le cos^2 theta +sin^4 thetale1. Hence deduce that 3/4 l...

    Text Solution

    |

  12. Prove that : (2 cos 2^n theta +1)/(2cos theta +1)= (2cos theta-1)(2cos...

    Text Solution

    |

  13. Prove that tan alpha+2tan 2 alpha+4 tan 4 alpha+ 8 cos 8 alpha=cot a...

    Text Solution

    |

  14. Solve: 2 (cos x + cos 2x) + sin 2x (1 + 2 cos (x))=2 sinx,-pi le x le ...

    Text Solution

    |

  15. Find the values of x in (-pi, pi), which satisfy the equation : 8^(1+|...

    Text Solution

    |

  16. If p tan theta = tan p theta, then show that : (sin^2 p theta)/(sin^2 ...

    Text Solution

    |

  17. If a+b+c=0, then what is the value of a^2/(bc)+b^2/(ca)+c^2/(ab)

    Text Solution

    |

  18. Given the product p of sines of the angles of a triangle and the produ...

    Text Solution

    |

  19. In a triangle ABC, if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)). Prove that...

    Text Solution

    |

  20. If (tan 3A)/(tan A)=k, show that ( sin 3A)/(sin A)= (2k)/(k-1) and he...

    Text Solution

    |