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 ) + ( cos^(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
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (TRUE AND FALSE)|6 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (COMPREHENSION)|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-MISCELLANEOUS EXERCISE (SELF ASSESSMENT TEST)
  1. If tan theta = 3 and theta lies in thrid quadrant, then the value of s...

    Text Solution

    |

  2. If sin alpha = 12//13 , ( 0 lt alpha lt pi //2) and cos beta = - ( 3)...

    Text Solution

    |

  3. If theta and phi are angles in the first quadrant such that tan theta ...

    Text Solution

    |

  4. The value of cos ( pi //5) cos ( 2pi //5) cos ( 4pi //5) cos ( 8pi //5...

    Text Solution

    |

  5. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =(3)/(16)

    Text Solution

    |

  6. The value of sqrt3 cosec20^@-sec20^@ is equal to:

    Text Solution

    |

  7. Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...

    Text Solution

    |

  8. If tan alpha =(b)/(a), a gt b gt 0 and " if " 0 lt alpha lt (pi)/(4), ...

    Text Solution

    |

  9. If cos(A-B)=3/5and tan A tanB=2, then

    Text Solution

    |

  10. If A +B = ( pi )/( 3) and cos A + cos B =1, then which of the followin...

    Text Solution

    |

  11. If Sigma n^2 = lambda Sigma n, then sin^(-1) "" ((9 lambda^2 - 4 n^2)/...

    Text Solution

    |

  12. If A = 580^(@) then

    Text Solution

    |

  13. If 2 cos ( A//2) = sqrt(( 1+ sin A )) - sqrt(( 1- sin A )) , then

    Text Solution

    |

  14. If cos(alpha+beta)=4/5, sin(alpha-beta)=5/13and alpha, beta between 0 ...

    Text Solution

    |

  15. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

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

    Text Solution

    |

  17. Let theta , phi in [0,2pi ] be such that 2 cos theta ( 1- sin phi ) = ...

    Text Solution

    |

  18. The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...

    Text Solution

    |

  19. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as :

    Text Solution

    |

  20. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |