Home
Class 10
MATHS
(1+cot^(2)theta)(1-costheta)(1+costheta)...

`(1+cot^(2)theta)(1-costheta)(1+costheta)=`……… .

A

`tan^(2)theta - sec^(2)theta`

B

`sin^(2)theta - cos^(2)theta`

C

`sec^(2)theta - tan^(2)theta`

D

`cos^(2)theta - sin^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (II)|18 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (III)|17 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise UNIT EXERCISE|9 Videos

  • STATISTICS AND PROBABILITY

    FULL MARKS|Exercise Additional question solved|65 Videos

Similar Questions

Explore conceptually related problems

(1-cos^(2)theta)(1+cot^(2)theta)= ………. .

(sin(90^(@)-theta)sintheta)/tantheta + (cos(90^(@)-theta)costheta)/cottheta= ………… .

1-(sin^(2)theta)/(1+costheta)= …………. .

(1+tan^(2)theta)/(1+cot^(2)theta)=

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

The value of (1 - cos^(2) theta) (1 + cot^(2) theta) is ……….. .

(cos^(2)theta-1)(cot^(2)theta+1)+1= ………….. .

Prove that : sqrt((1+cos theta)/(1-costheta))=cosec theta+ cot theta .

Prove that sqrt(cot^(2)theta-cos^(2)theta)=cottheta.costheta

(sintheta+sin2theta)/(1+costheta+cos2theta)

FULL MARKS-TRIGONOMETRY-ADDITIONAL QUESTIONS SOLVED
  1. cos^(4)x-sin^(4)x=……….. .

    Text Solution

    |

  2. If tantheta=a/x, then the value of x/(sqrt(a^(2)+x^(2))) =………… .

    Text Solution

    |

  3. If x=asectheta,y=btantheta, then the value of x^(2)/a^(2)-y^(2)/b^(2)=...

    Text Solution

    |

  4. sectheta/(cottheta+tantheta)=………… .

    Text Solution

    |

  5. (sin(90^(@)-theta)sintheta)/tantheta + (cos(90^(@)-theta)costheta)/cot...

    Text Solution

    |

  6. In the adjoining figure, AC = ……….. .

    Text Solution

    |

  7. In the adjoining figure, / ABC = ……….. .

    Text Solution

    |

  8. A man is 28.5 m away from a tower. His eye level above the ground is 1...

    Text Solution

    |

  9. In the adjoining figure, sintheta=15/17. Then BC=……… .

    Text Solution

    |

  10. (1+tan^(2)theta)(1-sintheta)(1+sintheta)=………… .

    Text Solution

    |

  11. (1+cot^(2)theta)(1-costheta)(1+costheta)=……… .

    Text Solution

    |

  12. (cos^(2)theta-1)(cot^(2)theta+1)+1=………….. .

    Text Solution

    |

  13. (1+tan^(2)theta)/(1+cot^(2)theta)=

    Text Solution

    |

  14. The value of sin^(2)theta+(1)/(1+tan^(2)theta) is equal to

    Text Solution

    |

  15. 9tan^(2)theta-9sec^(2)theta=………… .

    Text Solution

    |

  16. If the ratio of the height of a tower and the length of its shadow is ...

    Text Solution

    |

  17. A ladder makes an anglesof 60^(@) with the ground when placed against ...

    Text Solution

    |

  18. The angle of depression of a car parked on the road from the top of th...

    Text Solution

    |

  19. the angle of elevation of the top of a tower at a point on the ground ...

    Text Solution

    |

  20. If x=acostheta and y=bsintheta then b^(2)x^(2)+a^(2)y^(2)= …………. .

    Text Solution

    |