Home
Class 12
MATHS
Prove that cos^(2)theta + cos^(2)(alpha...

Prove that `cos^(2)theta + cos^(2)(alpha + theta) – 2cos alpha *cos theta* cos(alpha +theta)` is independent of `theta`.

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

Show that cos^(2)theta+cos^(2)theta(alpha+theta)-2cos alpha cos theta cos(alpha+theta) is independent of theta.

Show that: cos^(2)theta+cos^(2)(alpha+theta)-2cos alpha cos theta cos(alpha+theta) is independent of theta.

Prove that the expression cos^(2)theta+cos^(2)(alpha+theta)-2cos alpha cos theta cos(alpha+theta) is independent of theta and also find the maximum value of the expression.

Prove that: cos^(2)theta=cos^(2)alpha then theta=n pi+-alpha,n in Z

Prove that :2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta) is independent of theta.

The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alpha sin theta + cos2(alpha + theta ) is independent of theta , the value of n is

The value of 2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta)

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. Prove that sin x* sin y*sin(x - y) + sin y *sin z*sin(y- z) + sin z ...

    Text Solution

    |

  2. Prove that (3 + cos 4theta) cos 2theta = 4(cos^(8)theta - sin^(8)theta...

    Text Solution

    |

  3. Prove that cos^(2)theta + cos^(2)(alpha + theta) – 2cos alpha *cos th...

    Text Solution

    |

  4. If sin beta = 1/5 sin(2alpha +beta), show that tan(alpha +beta) = 3/2...

    Text Solution

    |

  5. If Tn = sin^(n)theta + cos^(n)theta then prove that (T5 -T3): (T7- T5...

    Text Solution

    |

  6. If f(alpha, beta) = cos^(4)alpha/cos^(2)beta + sin^(4)alpha/sin^(2)bet...

    Text Solution

    |

  7. If cos A = tan B, cos B = tan C and cos C = tan A then show that sin A...

    Text Solution

    |

  8. Prove that cos theta =(cos alpha- cos beta)/(1 -cos alpha*cos beta) ⇔ ...

    Text Solution

    |

  9. If sqrt(a + b) tan = theta/2 = sqrt(a -b) tan phi/2 then prove that a ...

    Text Solution

    |

  10. If sin theta - sin phi = a and cos theta + cos phi = b then prove tha...

    Text Solution

    |

  11. If sin x + sin y + sin z = 0 and cos x + cos y + cos z = 0 then prove...

    Text Solution

    |

  12. If sin alpha + sin beta =p, cos alpha + cos beta = q then find the va...

    Text Solution

    |

  13. If cos(x - y)= -1, show that cos x + cos y = 0 and sin x + sin y = 0.

    Text Solution

    |

  14. If alpha, beta be the solutions of theta for the equation a tan theta...

    Text Solution

    |

  15. If alpha + beta and alpha - beta are solutions of theta for the equati...

    Text Solution

    |

  16. Prove that tan7 1^circ/2 = sqrt6 - sqrt3 + sqrt2 - 2.

    Text Solution

    |

  17. Prove that cot 142.5^circ = sqrt2 + sqrt3 - sqrt4 - sqrt6.

    Text Solution

    |

  18. Prove that sin 23pi/24 = sqrt((2 sqrt2 - sqrt3 -1)/(4 sqrt2))

    Text Solution

    |

  19. Prove that sin 27^circ = 1/4 (sqrt(5 + sqrt5) - sqrt(3 - sqrt5)).

    Text Solution

    |

  20. Prove that sin 9^circ = 1/4 (sqrt(3 + sqrt5) - sqrt(5 - sqrt5)).

    Text Solution

    |