Home
Class 11
MATHS
If (cos^(4)alpha)/(cos^(2) beta) + (sin^...

If `(cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta)` = 1, prove that
`sin^(4)alpha + sin^(4) beta = 2 sin^(2) alpha sin^(2) beta`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 3.2|19 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 3.3|16 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise IDENTITY|14 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)|28 Videos

Similar Questions

Explore conceptually related problems

If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, prove that (cos^(4)beta)/(cos^(2) alpha) + (sin^(4)beta)/(sin^(2)alpha)= 1

Prove that sin^2alpha-sin^4alpha= cos^2alpha-cos^4alpha

If cos alpha + cos beta + cos gamma = sin alpha + sin beta + sin gamma = 0 , show that sin 3alpha + sin 3 beta + sin 3gamma = 3 sin (alpha + beta + gamma)

If cos alpha + cos beta = 1//2 and sin alpha+ sin beta = 1//3 , then

Given alpha+beta-gamma=pi, prove that sin^2alpha+sin^2beta-sin^2gamma=2sinalphasinbetacosgammadot

Prove that sin 4alpha = 4 tan alpha (1 - tan^(2) alpha)/((1 + tan^(2) alpha)^(2))

Evaluate {:[( cos alpha cos beta , cos alpha sin beta , -sin alpha ),( -sin beta , cos beta, 0),( sin alpha cos beta, sin alpha sin beta, cos alpha ) ]:} =0

If cos (alpha - beta) + cos (beta - gamma) + cos (gamma - alpha) = (-3)/(2) then prove that cos alpha + cos beta+ cos gamma = sin alpha + sin beta + sin gamma = 0 .

If ( cos x - cos alpha)/(cos x - cos beta) = ( sin^2 alpha cos beta)/(sin^2 beta cos alpha) then cos x =

Prove that sin4 alpha=4tan alpha (1- tan^(2)alpha)/((1+tan^2 alpha)^2

PREMIERS PUBLISHERS-TRIGONOMETRY-SOLUTION TO EXERCISE 3.1
  1. Identify the quadrant in which an angle of each given measure lies: ...

    Text Solution

    |

  2. Identify the quadrant in which an angle of each given measure lies: ...

    Text Solution

    |

  3. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  4. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  5. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  6. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  7. For each given angle, find a co-terminal angle with measure of theta s...

    Text Solution

    |

  8. If a cos theta - b sintheta = c, show that a sin theta + b cos theta =...

    Text Solution

    |

  9. If sin theta + cos theta = m, show that cos^(6)theta + sin^(6)theta ...

    Text Solution

    |

  10. If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, p...

    Text Solution

    |

  11. If (cos^(4)alpha)/(cos^(2) beta) + (sin^(4)alpha)/(sin^(2)beta) = 1, p...

    Text Solution

    |

  12. If y = (2 sin alpha )/(1 + cos alpha + sin alpha) then, prove that (1 ...

    Text Solution

    |

  13. If x = sum(n = 0)^(infty) cos ^(2n) theta, " "y = sum(n = 0)^(infty)...

    Text Solution

    |

  14. If tan^(2)theta = 1 - k^(2), show that sec theta + tan^(3)theta cosec ...

    Text Solution

    |

  15. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

    Text Solution

    |

  16. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

    Text Solution

    |

  17. If sec theta + "tan" theta = p, obtain the values of sec theta, tan th...

    Text Solution

    |

  18. If cot theta(1 + sintheta) = 4m and cot theta (1 - sin theta) = 4n, pr...

    Text Solution

    |

  19. If "cosec" theta - sin theta = a^(3) and sec theta - cos theta = b^(3...

    Text Solution

    |

  20. Eliminate theta from the equations a sec theta - c tan theta = b and b...

    Text Solution

    |