Home
Class 12
MATHS
If (sin^4x)/2+(cos^4x)/3=1/5t h e n ta...

If `(sin^4x)/2+(cos^4x)/3=1/5t h e n` `tan^2x=2/3` (b) `(sin^8x)/8+(cos^8x)/(27)=1/(125)` `tan^2x=1/3` (d) `(sin^8x)/8+(cos^8x)/(27)=2/(125)`

A

`tan^(2) x = ( 2)/( 3)`

B

`( sin ^(8) x )/( 8 ) + ( co s^(8)x)/(27) = ( 1)/( 125)`

C

`tan^(2) x = ( 1)/( 3)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS)|2 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)|100 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (2) TRUE AND FALSE|4 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

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

sin ^ (8) x-cos ^ (8) x = 1

int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx

int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx=

(sin x) / (sin3x) + (sin3x) / (cos9x) + (sin9x) / (cos27x) = (tan27x-tan x) / (2)

Show that: (sin x)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=(1)/(2)(tan27x-tan x)

Integrate the functions (sin^(8)-cos^(8)x)/(1-2sin^(2)x cos^(2)x)

If int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx=a sin2x+C then a=

Prove that: (sin x)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=((1)/(2))(tan27x-tan x)

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (3) ( MULTIPLE CHOICE QUESTIONS)
  1. If cottheta+tantheta=xa n dsectheta-costheta=y , prove that (x^2y)^(2/...

    Text Solution

    |

  2. If cos e ctheta-sintheta=a^3,sectheta-costheta=b^3, Prove that : a^2b...

    Text Solution

    |

  3. If sin A + cos A = p, sin^(3) A + cos^(3) A=q, then

    Text Solution

    |

  4. If x=sectheta-tantheta, and y=cosectheta+cottheta, then

    Text Solution

    |

  5. If:x/a costheta+y/b s intheta=1a n dx/a s intheta-y/bcostheta=1, Prov...

    Text Solution

    |

  6. If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then ...

    Text Solution

    |

  7. If p sec theta - b tan theta =a and q sec theta +a tan theta =b, then

    Text Solution

    |

  8. If a+b tan theta = sec theta and b - a tan theta = 3 sec theta, then ...

    Text Solution

    |

  9. For 0 lt phi le ( pi )/( 2), if x = sum(n=0)^(oo) cos^(2n) phi , y = s...

    Text Solution

    |

  10. If tan x = ( 2b )/( a-c) , ( a cancel(=)c) y = a cos ^(2) x + 2b sin...

    Text Solution

    |

  11. If sin x + cos x = sqrt( 2) cos x , then cos x - sin x is equal to

    Text Solution

    |

  12. If theta is an acute angle and sin"" ( theta )/( 2) = sqrt((x-1)/( 2x)...

    Text Solution

    |

  13. If a cos theta - b sin theta =c, " then" a sin theta + b cos theta is...

    Text Solution

    |

  14. If sin A + sin 2A =x and cos A + cos 2A = y, then ( x^(2) + y^(2) ) ( ...

    Text Solution

    |

  15. It is given that cos(theta-alpha)=a, cos(theta-beta)=b What is...

    Text Solution

    |

  16. If a sin^(2)x+b cos^(2)x=c, b sin^(2)y+a cos^(2)y=d and atan x=btany t...

    Text Solution

    |

  17. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |

  18. If (x)/(cos theta)=(y)/(cos(theta-(2pi)/(2)))=(2)/(cos(theta+(2pi)/(3)...

    Text Solution

    |

  19. If x sin theta = y sin ( theta + ( 2pi )/( 3)) = z sin( ( theta + 4pi ...

    Text Solution

    |

  20. |{:(cos ( theta +A), sin ( theta +A),1),(cos ( theta +B),sin ( theta +...

    Text Solution

    |