Home
Class 10
MATHS
tan^(2)(90^(@) - theta) - cosec^(2) thet...

`tan^(2)(90^(@) - theta) - cosec^(2) theta = `

A

0

B

1

C

-1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    TARGET PUBLICATION|Exercise Additional Problems for Practice (Based on practice Set 6.1)|27 Videos
  • TRIGONOMETRY

    TARGET PUBLICATION|Exercise Based on Practice Set 6.2|13 Videos
  • TRIGONOMETRY

    TARGET PUBLICATION|Exercise Activities for practice|3 Videos
  • STATISTICS

    TARGET PUBLICATION|Exercise Problem Set-6|21 Videos

Similar Questions

Explore conceptually related problems

Prove that :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

Prove each of the following identities : ((1+ tan^(2) theta) cot theta)/("cosec"^(2) theta ) = tan theta

prove that: (tan theta-cot theta)^(2)+2=sec^(2) theta+ cosec^(2) theta-2

prove that: tan^(2) theta-cot^(2) theta=sec^(2) theta- cosec^(2) theta

Write the value of "cosec"^(2)(90^(@)-theta)-tan^(2)theta.

What is the value of [tan^2 (90 - theta) - sin^2 (90 - theta)] cosec^2 (90 - theta) cot^2 (90 - theta) ?

What is the value of [tan^(2)(90-theta)-sin^(2)(90-theta)]cosec^(2)(90-theta)cot^(2)(90-theta) ?

Simplify the following: (i) "sin"(90^(@)+theta)"tan"(270^(@)+theta)cot(90^(@)+theta) cosec(270^(@)+theta) (ii) ("sin"(-theta)"tan"(180^(@)+theta)"tan"(90^(@)+theta))/(cot(90^(@)-theta)cos(360^(@)-theta)"sin"(180^(@)-theta))

The value of cot theta.tan (90^@ -theta)-sec(90^@ - theta) cosec theta+ (sin^2 25^@+sin^2 65^@) +sqrt3(tan 5^@ tan15^@.tan30^@.tan75^@.tan85^@) is

Prove that (i) ("cosec"^(2) theta-1 ) tan^(2) theta =1 " " (ii) (sec^(2) theta -1)(1- "cosec"^(2) theta )=-1

TARGET PUBLICATION-TRIGONOMETRY -Multiple Choice Questions
  1. (1 - cot^(2)45^(@))/(1 + cot^(2)45^(@)) =

    Text Solution

    |

  2. 1+cot^(2)theta= ……

    Text Solution

    |

  3. tan^(2)(90^(@) - theta) - cosec^(2) theta =

    Text Solution

    |

  4. If cos theta = (24)/(25), then the value of sin theta is

    Text Solution

    |

  5. If tantheta=3/4 , then cos^2theta-sin^2theta= 7/(25) (b) 1 (c) -7/(25...

    Text Solution

    |

  6. If cot theta = (3)/(4) , then (sin theta - cos theta)/(sin theta + cos...

    Text Solution

    |

  7. Find the value of (1+tan^(2)theta)/(1+cot^(2)theta)

    Text Solution

    |

  8. (1 - cos^(2)theta)cot^(2)theta

    Text Solution

    |

  9. sec^(2)theta - (1)/(cosec^(2)theta - 1) =

    Text Solution

    |

  10. Write the value of "cosec"^(2)theta(1+costheta)(1-sintheta).

    Text Solution

    |

  11. (5)/(cot^(2)theta) - (5)/(cos^(2) theta)=

    Text Solution

    |

  12. sin theta/(1+cos theta)=

    Text Solution

    |

  13. If cosec theta - cottheta = (1)/(3) , then cosec theta + cot theta =

    Text Solution

    |

  14. If sin theta + sin^(2) theta=1 " then " cos^(2) theta+ cos^(4) theta...

    Text Solution

    |

  15. If sin theta + costheta = m and sin theta - cos theta = n , then

    Text Solution

    |

  16. When we see below the horizontal line , then the angle formed is …………....

    Text Solution

    |

  17. If a pole 12 m high casts a shadow 4sqrt(3) m long on the ground then...

    Text Solution

    |

  18. A kite is flying at a height 80 m above the ground . The string of th...

    Text Solution

    |

  19. The angle of elevation of top of the tower from a point P on the groun...

    Text Solution

    |

  20. The angle of depression of a ship as observed from the top of a lighth...

    Text Solution

    |