Home
Class 12
MATHS
Prove that (1+cot theta - "cosec" the...

Prove that
` (1+cot theta - "cosec" theta )(1+ tan theta +sec theta )=2. `

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE, INVERSE TRIGONOMETRIC FUNCTION

    NDA PREVIOUS YEARS|Exercise MCQ|103 Videos
  • QUESTION PAPER 2021(I)

    NDA PREVIOUS YEARS|Exercise MULTIPLE CHOICE QUESTION|108 Videos

Similar Questions

Explore conceptually related problems

Prove that (cot theta + "cosec" theta -1 )/(cot theta - "cosec" theta +1)=(1+ cos theta)/(sin theta).

The value of (1 + cot theta - cosec theta ) (1 + tan theta +sec theta) is

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that : (tan theta)/(sec theta -1) + (tan theta)/(sec theta + 1) = 2 cosec theta

Prove that sqrt( sec^(2) theta + "cosec"^(2) theta )= tan theta + cot theta .

Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(2)=(7+ tan^(2) theta + cot^(2) theta).

NDA PREVIOUS YEARS-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTIONS
  1. What is the values of the following? ( sin 24^(@) +cos 66^(@)) (sin...

    Text Solution

    |

  2. A chord subtends an angle 120^(@) at the centre of the circle of radiu...

    Text Solution

    |

  3. Prove that (1+cot theta - "cosec" theta )(1+ tan theta +sec theta )...

    Text Solution

    |

  4. What is (1+ tan^(2) theta)/(1+cot^(2) theta) -((1-tan theta)/(1-cot t...

    Text Solution

    |

  5. What is the interior angle of a regular octagon of side length 2 cm?

    Text Solution

    |

  6. If 7 sin theta +24 cos theta =25, then what is the value of (sin theta...

    Text Solution

    |

  7. A ladder 6 m long reaches a point 6 m below the top of a vertical flag...

    Text Solution

    |

  8. The shadow of a tower is found to be x metre longer, when the angle o...

    Text Solution

    |

  9. If 3 cos theta = 4 sin theta, then what is the value of tan (45^(@) +t...

    Text Solution

    |

  10. The smallest positive integer n for which ((1-i)/(1+i))^(n^(2)) = 1 ...

    Text Solution

    |

  11. The value of x, satisfying the equation log(cos x ) sin x =1, where 0 ...

    Text Solution

    |

  12. If Delta is the value of the determinant |(a(1), b(1),c(1)),(a(2),b...

    Text Solution

    |

  13. If C(0), C(1), C(2), …, C(n) are the coefficients in the expansion of ...

    Text Solution

    |

  14. If a+b+c=4 and ab+bc+ca=0, then what is the value of the following de...

    Text Solution

    |

  15. The number of integer values of k, for which the equation 2 sin x =2k...

    Text Solution

    |

  16. If a(1), a(2), a(3), …., a(9) are in GP, then what is the value of the...

    Text Solution

    |

  17. If the roots of the quadratic equation x^(2) +2x+k =0 are real, then

    Text Solution

    |

  18. In n = 10!, then what is the value of the following? (1)/(log(2)n) ...

    Text Solution

    |

  19. If Z=1+i, where i=sqrt(-1), then what is the modulus of Z+(2)/(Z)?

    Text Solution

    |

  20. If A and B are two matrices such that AB if of order n xx n, then whic...

    Text Solution

    |