Home
Class 12
MATHS
Q. Prove that from the equality sin^4 al...

Q. Prove that from the equality `sin^4 alpha/a+cos^4 alpha/b=1/(a+b)` follows the relation; `sin^8 alpha/a^3+cos^8 alpha/b^3=1/(a+b)^3.`

A

`(1)/(a+b)^(3)`

B

`(1)/(a-b)^(3)`

C

`(1)/(a^(3))+(1)/(b^(3))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise 2(Level -I)|36 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -2(Level -II)|12 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos

  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

Prove that from the equality (sin^(4)alpha)/(a)+(cos^(4)alpha)/(b)=(1)/(a+b) follow the relation :(sin^(8)alpha)/(a^(3))+(cos^(8)alpha)/(b^(3))=(1)/((a+b)^(3))

If (sin^(4)alpha)/a +(cos^(4)alpha)/b = 1/(a+b) , show that sin^(8)alpha/a^(3) +cos^(8)alpha/b^(3) =1/(a+b)^(3)

If alpha in Q_(4) and (sin alpha)/(2)+(cos alpha)/(2)=-(1)/(2) then sin2 alpha=

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)/(a)=(cos alpha)/(b), then a sin2 alpha+b cos2 alpha=

sin alpha-cos alpha=(1)/(3) then sin^(4)alpha-cos^(4)alpha=

If x=a sin alpha+b cos alpha and y=a cos alpha-b sin alpha then remove alpha

If (cos3 alpha)/(cos alpha)=(1)/(3),0

If (cos3 alpha)/(cos alpha)=(1)/(3),0

If sin alpha+sin beta=a and cos alpha-cos beta=b then

MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise 1
  1. If sin^(6) theta + cos^(6) theta -1 = lambda sin^(2) theta cos^(2) th...

    Text Solution

    |

  2. If a costheta+b sin theta = 3 and a sin theta - b cos theta = 4 then a...

    Text Solution

    |

  3. Q. Prove that from the equality sin^4 alpha/a+cos^4 alpha/b=1/(a+b) fo...

    Text Solution

    |

  4. The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x...

    Text Solution

    |

  5. Solve 6sin^2theta-11sin theta+4=0

    Text Solution

    |

  6. The value of sin(pi+theta)sin(pi-theta)cosec^(2)theta is equal to

    Text Solution

    |

  7. The value of tan1^@ tan 2^@ tan 3^@ ... tan 89^@ is

    Text Solution

    |

  8. The value of cos 1^@ cos 2^@ cos 3^@... cos 179^@ is

    Text Solution

    |

  9. If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+...

    Text Solution

    |

  10. The value of cotx+cot(60^@+x)+cot(120^@+x) is equal to

    Text Solution

    |

  11. If tan A - tan B =x and cot B - cot A=y, then: cot(A-B)=

    Text Solution

    |

  12. If tan 25^@ = x, then (tan155^@ - tan115^@)/(1+tan 155^@ tan115^@) is ...

    Text Solution

    |

  13. Let alpha, beta be such that pi lt alpha lt beta lt 3pi, if sin alpha...

    Text Solution

    |

  14. The value of tan 3A -tan 2A -tan A is equal to (A) tan 3A tan 2A tan A...

    Text Solution

    |

  15. If alpha+beta+gamma=2pi , then

    Text Solution

    |

  16. In a triangle ABC if tan A lt 0 then

    Text Solution

    |

  17. If A+B=225^(@) then the value of (cotA)/(1+cotA).(cotB)/(1+cotB) is

    Text Solution

    |

  18. The value of (sin 24^@ cos 6^@-sin 6^@sin 66^@)/(sin 21^@ cos 39^@-cos...

    Text Solution

    |

  19. The valud of sin 12^(@) sin 48^(@) sin 54^(@) is equal to-

    Text Solution

    |

  20. If A + B + C = (3pi)/2, then cos 2A + cos 2B + cos 2C is equal to (A) ...

    Text Solution

    |