Home
Class 11
MATHS
If sin theta + cos theta = m, show that ...

If sin `theta` + cos `theta` = m, show that
`cos^(6)theta + sin^(6)theta = (4 - 3(m^(2) - 1)^(2))/(4)` where `m^(2) le 2`.

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

Solve 7 cos^(2) theta+3 sin^(2) theta=4 .

If a cos theta - b sin theta = c, show that a sin theta + b cos theta = pm sqrt(a^(2) + b^(2) - c^(2))

If sin theta + cos theta theta = sqrt(2) cos theta then cos theta - sin theta is

Prove that cos 8 theta cos 2 theta = cos^(2) 5theta- sin^(2) 3 theta

Solve 7cos^2theta+3sin^2theta=4

If cos theta+sin theta=sqrt2 cos theta, show that cos theta-sin theta=sqrt2 sin theta .

If cot theta (1 + sin theta ) = 4m and cot theta (1 - sin theta ) = 4n, prove that (m^(2) - n^(2))^(2) = mn.

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .

If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin theta =y cos theta then x^2 +y^2 is

If (sin 3theta)/(cos 2theta)lt 0 , then theta lies in

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

    |