Home
Class 14
MATHS
(sintheta + cos theta)(tan theta + cotth...

`(sintheta + cos theta)(tan theta + cottheta)` =

A

1

B

`sintheta.costheta`

C

`sectheta."cosec"theta`

D

`sectheta+"cosec"theta`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

  • GRAPHICAL SOLUTION OF LINEAR EQUATION

    LUCENT PUBLICATION|Exercise EXERCISE-3B|8 Videos

Similar Questions

Explore conceptually related problems

ABC is an isosceles triangle with AB=AC=13 cm and BC= 20 cm . If /_ABC=theta then find the value of sin theta, cos theta, tan theta, cottheta, sectheta and cos ec theta .

If 5 tan theta = 4 then value of ((5sintheta-3cos theta)/(5sin theta+3costheta)) is

If 21 tan theta=20 , then (1+sintheta+costheta):(1-sin theta+cos theta)=?

Prove that (tan 5theta + tan 3theta)/(tan 5theta - tan 3theta) = 4 cos 2theta cos 4theta

What is (1+ cottheta - "cosec"theta)(1+tan theta + sec theta) equal to?

Prove that (sin theta + sin 3theta+ sin 5 theta + sin 7theta)/(cos theta + cos 3theta + cos 5 theta + cos 7theta) = (tan 3theta + tan theta)/(1 - tan 3theta tan theta) .

y=1/((1+tan theta)^(sin theta-cos theta)+(cot theta)^(cos theta-cot theta))+ 1/((1+tan theta)^(cos theta-sin theta)+(cot theta)^(sin theta-cottheta)) +1/((1+tan theta)^(cos theta-cot theta)+(cot theta)^(cot theta-sin theta)) then (dy)/(dx) at theta=pi/3 is

If (sintheta+costheta)/(sintheta-costheta)=(5)/(4) , the value of (tan^(2)theta+1)/(tan^(2)theta-1) is

LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. sin^(2)17.5^(@) +sin^(2)72.5^(@) is equal to:

    Text Solution

    |

  2. A cow is tied in a pole with a rope. The cow moves in a circular pan k...

    Text Solution

    |

  3. (sintheta + cos theta)(tan theta + cottheta) =

    Text Solution

    |

  4. If secalpha, "cosec"alpha are roots of equation x^(2) + px + q=0, then

    Text Solution

    |

  5. If sectheta and tantheta are roots of equation ax^(2) + bx + c=0 (a,b...

    Text Solution

    |

  6. If x = h+ asectheta and y=k + b"cosec"theta then

    Text Solution

    |

  7. If sinA - sqrt(6)cos A= sqrt(7) cosA, then the value of cosA + sqrt(...

    Text Solution

    |

  8. If sintheta and costheta are roots of equation ax^(2) + bx + c =0, the...

    Text Solution

    |

  9. Maximum value of sin(cos x) is-

    Text Solution

    |

  10. If cos x + cos^(2)x =1, then the value of sin^(12)x + 3 sin^(10)x + 3s...

    Text Solution

    |

  11. If 3sintheta + 5 cos theta = 5, then the value of 5sintheta - 3cos th...

    Text Solution

    |

  12. If tantheta + sectheta =p, then the value of sec theta is:

    Text Solution

    |

  13. If sintheta - cos theta = sqrt(2)cos theta, then the value of sintheta...

    Text Solution

    |

  14. If tan(theta + 3theta) tan (2theta + 3theta)=1, then the value of sin(...

    Text Solution

    |

  15. If secx = "cosec"y, then the value of "cosec"(x+y) is:

    Text Solution

    |

  16. If tan2theta = cot(theta - 18^(@)), then the value of sin(5theta)/4 + ...

    Text Solution

    |

  17. If sintheta + cos theta =1, then the value of sintheta - costheta is:

    Text Solution

    |

  18. If k=(1-sinalpha)(1-sinbeta)(1-singamma)=(1+sinalpha)(1+sinbeta)(1+si...

    Text Solution

    |

  19. If p=(secA - tanA) (secB - tanB) (secC - tanC) = (secA + tanA) (secB ...

    Text Solution

    |

  20. The value of (1+ cot theta + "cosec"theta) (1+ cot theta - "cosec"thet...

    Text Solution

    |