Home
Class 14
MATHS
What is the simplified value of sec^(...

What is the simplified value of `sec^(4)theta-sec^(2)thetatan^(2)theta` ?

A

`"cosec"^(2)theta`

B

`sec^(2)theta`

C

`cot^(2)theta`

D

`secthetatantheta`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos
  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

What is the simplified value of (sqrt(sec^(2)theta+cosec^(2)theta))/(2) ?

Find the maximum value of 1-sec^(4)theta-2sec^(2)theta

Find the maximum value of 1-sec^(4)theta-2sec^(2)theta

What is the simplified value of [(1+sec 2theta)tan^(2)theta]+1 ?

sec^(4)theta - sec^(2)theta equals

Find the minimum value of sec^(2)theta+csc^(2)theta-4

What is the simplefied value of (7)/(sec^(2)theta)+ (3)/(1+cot^(2)theta)+ 4sin^(2) theta ?

sec^(4)theta-tan^(4)theta=sec^(2)theta+tan^(2)theta

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. What is the simplified value of ((1)/(secA+tanA))^(2)?

    Text Solution

    |

  2. What is the simplified value of ("cosec"^4 A - cot^2 A )-(cot^4 A+ "co...

    Text Solution

    |

  3. What is the simplified value of sec^(4)theta-sec^(2)thetatan^(2)the...

    Text Solution

    |

  4. If ((1)/(costheta))-((1)/(cottheta))=(1)/(P) , then what is the value...

    Text Solution

    |

  5. What is the simplified value of cosec^(6)A-cot^(6)A-3cosec^(2)Acot^...

    Text Solution

    |

  6. If tanA=(1)/(3)andtanB=(2)/(5) , what is the value of tan (2A+B) ?

    Text Solution

    |

  7. What is the value of [(1)/((1-tantheta))]-[(1)/((1+tantheta))]?

    Text Solution

    |

  8. If tantheta+cottheta=x , then what is the value of tan^(4)theta+cot^(...

    Text Solution

    |

  9. If tan ^(2) theta + cot^(2) theta = 2 , then what is the value of 2^(s...

    Text Solution

    |

  10. What is the simplified value of (sec^(4)A-tan^(2)A)-(tan^(4)A+sec^(2...

    Text Solution

    |

  11. If cosec^(2)theta=(625)/(576) , then what is the value of [((sinth...

    Text Solution

    |

  12. What is the value of (3)/(2)((cos39)/(sin51))-sqrt(sin^(2)39+sin^(2)51...

    Text Solution

    |

  13. If cot A=[(sin B)/((1- cos B))], then what is the value of cot 2A?

    Text Solution

    |

  14. What is the value of sqrt(2)sec45^(@)+((1)/(sqrt(3)))tan30^(@)?

    Text Solution

    |

  15. DeltaDEF is right angled at E . If mangleD=45^(@) , then what is th...

    Text Solution

    |

  16. If cosectheta+cosec^(2)theta=1 , then what is the value of (cot^(...

    Text Solution

    |

  17. DeltaLMN is right angled at M . If mangleN=60^(@), then tan L = .

    Text Solution

    |

  18. If cosec(pi)/(4)-"sin"(pi)/(3)=x , then the value of x is

    Text Solution

    |

  19. If (secA)/(sqrt((sec^(2)A-1)))=x then the value of x is

    Text Solution

    |

  20. What is the value of [sin (y- z) +sin (y + z) + 2 sin y]//[sin (x-z) +...

    Text Solution

    |