Home
Class 12
MATHS
The method of eliminating 'theta' from t...

The method of eliminating `'theta'` from two given equations involving trigonometrical functions of `'theta'`. By using given equations involving `'theta'` and trigonometrical identities, we shall obtain an equation not involving `'theta'`.
On the basis of above information answer the following questions.
If `tan theta + sin theta=m` and `tan theta - sin theta=n`, then `(m^(2)-n^(2))^(2)` is

A

`4sqrt(mn)`

B

4mn

C

`16sqrt(mn)`

D

`16mn`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Solved Examples : Single Option Correct Type Questions|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

  • VECTOR ALGEBRA

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

Similar Questions

Explore conceptually related problems

The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If x sin^(3) theta+ y cos^(3)theta= sin theta cos theta and x sin theta- y cos theta = 0 then (x, y) lie one

The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If sin theta+ cos theta= a and sin^(3)theta+cos^(3) theta=b , then we get lambda a^(3) + mu b+ v a =0 when lambda , mu, v are independent of theta , then the value of lambda^(3)+mu^(3)+v^(3) is

The method of eliminating 'theta' from two given equations involving trigonometrical functions of 'theta' . By using given equations involving 'theta' and trigonometrical identities, we shall obtain an equation not involving 'theta' . On the basis of above information answer the following questions. If (x)/(a cos theta)=(y)/(b sin theta) ...(i) and (ax)/(cos theta)- (by )/(sin theta) = a^(2)-b^(2) , then (x, y) lie on

Solve the following trigonometric equation : tan theta + tan 2 theta + tan 3 theta =0 .

Solve tan theta + tan 2 theta + tan theta * tan 2 theta * tan 3 theta=1

Solve the following trigonometric equation : tan theta+ cot theta=2 .

Solve the following trigonometric equation : sin m theta + sin n theta = 0 .

Solve the following trigonometric equation : tan theta+ sec theta= sqrt3 .

Solve the following trigonometric equation : sin 7 theta+ sin 4 theta+ sin theta=0 .

Solve the following trigonometric equation : sin theta + cos theta = 1 .

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The method of eliminating 'theta' from two given equations involving t...

    Text Solution

    |

  2. Let alpha and beta be non-zero real numbers such that 2 ( cos beta -...

    Text Solution

    |

  3. Let -pi/6 < theta < -pi/12. Suppose alpha1 and beta1, are the roots of...

    Text Solution

    |

  4. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  5. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for theta ...

    Text Solution

    |

  6. The number of all possible values of theta, where 0 lt theta lt pi, fo...

    Text Solution

    |

  7. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  8. If sin^ 4 x/2+cos^4 x/3 =1/5 then

    Text Solution

    |

  9. Let theta in (0, pi/4) and t(1)=tan theta)^(tan theta), t(2)=(tan thet...

    Text Solution

    |

  10. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

    Text Solution

    |

  11. If 5 (tan ^(2) x - cos ^(2) x ) = 2 cos 2x +9, then the value of cos 4...

    Text Solution

    |

  12. Let F(k)(x)=1/k (sin^(k)x+cos^(k)x), where x in R and k ge 1, then fin...

    Text Solution

    |

  13. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s...

    Text Solution

    |

  14. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

    Text Solution

    |

  15. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  16. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  17. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  18. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  19. In Delta PQR , /R=pi/4, tan(P/3), tan(Q/3) are the roots of the equati...

    Text Solution

    |