Home
Class 10
MATHS
Assertion (A) : For 0 lt theta le 90^@ ,...

Assertion (A) : For `0 lt theta le 90^@ , cosec theta -cot theta` and `coesc theta + cot theta` are reciprocal of each other
Reason (R) : `cot^2 theta -coesc^2 theta=1`

A

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

B

Both Assertion (A) and Reason (R) are true , but Reason (R) is not the correct explanation of the Assertion (A).

C

Assertion (A) is true, but Reason (R) is false.

D

Assertion (A) is false, but Reason (R) is true.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2022 TERM 2 SET 4 STANDARD

    X BOARDS|Exercise QUESTION|20 Videos

  • SAMPLE PAPER 2019

    X BOARDS|Exercise SECTION-D 39 (b)|1 Videos

Similar Questions

Explore conceptually related problems

If cosec theta + cot theta= p , cos theta = ?

If ("cosec" theta +cot theta)=x find "cosec" theta - cot theta .

cosec^4 theta-cot^4 theta=cosec^2theta+cot^2 theta

(1)/(cosec theta+cot theta)=cosec theta-cot theta

int(cosec theta-cot theta)/(cosectheta+ cot theta)d theta=

If (cosec theta - cot theta)=2 , the (cosec theta +cot theta) is equal to

cosec^(2)theta-cot^(2)theta-1

cosec^2 theta - cot^2 theta = 1 +…..

If cosec theta + cot theta= 2.5 , then cosec theta = ?

If 6cot theta+2cosec theta=cot theta+5cosec theta , then cos theta is

X BOARDS-QUESTION PAPER 2023-Question
  1. The value of 'k' for which the system of equations kx+2y=5 and 3x+4y=1...

    Text Solution

    |

  2. The graph of y=f(x) is shown in figure for some polynomial f(x) the n...

    Text Solution

    |

  3. Assertion (A) : For 0 lt theta le 90^@ , cosec theta -cot theta and co...

    Text Solution

    |

  4. Assertion (A) : The probability that a leap year has 53 Sunday is 2/7 ...

    Text Solution

    |

  5. A box contains 20 discs which are numbered from 1 to 20. If one disc i...

    Text Solution

    |

  6. From a point Q, the length of the tangent to a circle is 24 cm and the...

    Text Solution

    |

  7. Find the value of k for which the roots of the quadratic equation 5x^2...

    Text Solution

    |

  8. If one root of the quadratic equation 3x^2-8x-(2k+1)=0 is seven times ...

    Text Solution

    |

  9. Find a quadratic polynomial whose zeroes are 6 and -3.

    Text Solution

    |

  10. Find the zeroes of the polynomial x^2+4x-12

    Text Solution

    |

  11. Evaluate : (5 cosec^2 30^@ -cos 90^@)/(4 tan^2 60^@)

    Text Solution

    |

  12. Prove that 5+2sqrt3 is an irrational number, given that sqrt3 is an ir...

    Text Solution

    |

  13. If the coordinates of points A and B are (-2, -2) and (2, -4) respecti...

    Text Solution

    |

  14. Prove that (cot A-cos A)/(cot A+cos A)=(cos^2 A)/(1+sinA)^2

    Text Solution

    |

  15. Prove that (sec theta+tan theta)(1-sin theta)=cos theta

    Text Solution

    |

  16. E is a point on the side AD produced of a parallelogram ABCD and BE in...

    Text Solution

    |

  17. In the given figure, CM and RN are respectively the medians of Delta A...

    Text Solution

    |

  18. The sum of the reciprocals of Rehmans ages, (in years) 3 years ago an...

    Text Solution

    |

  19. A survey conducted on 20 households in a locality by a group of studen...

    Text Solution

    |

  20. The first term of an A.P. is 5 , the last term is 45 and the sum is 40...

    Text Solution

    |