Home
Class 12
MATHS
If (cos theta(1))/(cos theta(2))+(sin th...

If `(cos theta_(1))/(cos theta_(2))+(sin theta_(1))/(sin theta_(2))=(cos theta_(0))/(cos theta_(2))+(sin theta_(0))/(sin theta_(2))=1`, where `theta_(1)` and `theta_(0)` do not differ by can even multiple of `pi`, prove that
`(cos theta_(1)*cos theta_(0))/(cos^( 2)theta_(2))+(sin theta_(1)*sin theta_(0))/(sin^(2) theta_(2))=-1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|24 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Prove : (cos theta)/(1+sin theta) + (cos theta)/(1-sin theta)= 2 sec theta

1 + (cos 2 theta + cos 6 theta)/(cos 4 theta) = (sin 3 theta)/(sin theta).

Solve (3 sin theta-sin 3 theta)/(sin theta)+(cos 3 theta)/(cos theta)=1 .

Prove that : (cos theta)/(1-tan theta) + (sin theta)/(1-cot theta) = sin theta + cos theta

cos2 theta*cos(theta/(2))-cos3 theta*cos((9theta)/2)=sin5 theta*sin((5theta)/(2))

Prove that : (2 cos^(3) theta-cos theta)/(sin theta-2 sin^(3)theta)=cot theta

Prove that (costheta)/(1-sin theta)+(1-sin theta)/(cos theta)=2sec theta .

Prove that 1-cos^(2)theta-sin^(2)theta=0

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))

cos theta sqrt(1-sin^(2)theta)=

ARIHANT MATHS ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)
  1. Prove that, cot 7 1/2 ^@ or tan 82 1/2 ^@ = (sqrt(3)+sqrt(2))(sqrt(2)+...

    Text Solution

    |

  2. If m sin (alpha+beta) = cos (alpha-beta), prove that (1)/(1- m sin 2...

    Text Solution

    |

  3. If alpha+beta+gamma=pi and tan((beta+gamma-alpha)/4)tan((gamma+alpha-b...

    Text Solution

    |

  4. The set of values of a for which the equation Sin^4 x + Cos^4 x = a ha...

    Text Solution

    |

  5. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  6. If a, b, c and k are real constants and alpha, beta, gamma are variab...

    Text Solution

    |

  7. If (x)/(tan(theta+alpha))=(y)/(tan(theta+beta))=(z)/(tan(theta+gamma))...

    Text Solution

    |

  8. Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)cos(a1+x)++1/(2^(n-1))cos(an+x)...

    Text Solution

    |

  9. Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...

    Text Solution

    |

  10. If A, B, C are the angle of a triangle and |(sinA,sinB,sinC),(cosA,...

    Text Solution

    |

  11. In any DeltaABC, prove that Sigma (sqrt(sinA))/(sqrt(sinB)+sqrt(sinC...

    Text Solution

    |

  12. If 2(cos ( alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)+3=0, prove tha...

    Text Solution

    |

  13. If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)-...

    Text Solution

    |

  14. If (cos theta(1))/(cos theta(2))+(sin theta(1))/(sin theta(2))=(cos th...

    Text Solution

    |

  15. Prove that sum(k=1)^(n-1) ""^(n)C(k)[cos k x. cos (n+k)x+sin(n-k)x.s...

    Text Solution

    |

  16. Total number of solution for the equation x^(2)-3[sin(x-(pi)/6)]=3 is ...

    Text Solution

    |

  17. In aDeltaABC, prove that Sigma(r=0)^(n)""^(n)C(r)a^(r)b^(n-r) cos ( ...

    Text Solution

    |

  18. Resolve Z^5+ 1 into linear & quadratic factors with real coefficients...

    Text Solution

    |

  19. Prove that the roots of the equation 8x^(3)-4x^(2)-4x+1=0 " are " co...

    Text Solution

    |