Home
Class 11
MATHS
If cosec theta- cot theta=1/2, 0 < theta...

If `cosec theta- cot theta=1/2, 0 < theta < pi/2` then `cos theta=` `a.5/3, b. 3/5, c.-3/5, d. -5/3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

If cosec theta + cot theta = p prove that cos theta = p2-1 / p2 + 1

(b) cosec theta=1+cot theta

(b) cosec theta=1+cot theta

If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. cosec theta+cot theta , b. cosec theta - cot theta , c. cot theta-cosec theta , d. -cosectheta - cot theta

If 5 costheta = 3 , then ( "cosec "theta+cot theta)/(" cosec " theta- cot theta) is equal to

x = a cosec theta + b cot theta and y= a cosec theta - b cot theta show that [ (x+y)/a ]^2 -[ (x-y)/b]^2 =4

If 7(cosectheta -1) = 3cottheta , shown that 3( cosec theta +1) = 7 cot theta .

If cosec theta .cos (theta + 54 ^(@)) = 1, find the value of theta

prove that (cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2

prove that 1/(cosec theta-cot theta) - 1/(sin theta) = 1/sin theta - (1)/(cosec theta + cot theta)

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 3sintheta+5costheta=5, then write the value of 5sin theta-3costheta...

    Text Solution

    |

  2. If t a ntheta=x-1/(4x) , then s e ctheta-t a ntheta is equal to (a) -2...

    Text Solution

    |

  3. If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a. ...

    Text Solution

    |

  4. If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. co...

    Text Solution

    |

  5. If sec theta= x+1/(4x) then sec theta+ tan theta= (a) x, 1/(x), (b) 2x...

    Text Solution

    |

  6. If pi/2ltthetaltpi, then sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sinth...

    Text Solution

    |

  7. If tanθ+secθ=√3,0 <θ<π, then θ is equal to a. (5pi)/6 b. (2pi)/3 c. pi...

    Text Solution

    |

  8. If t a ntheta=-1/(sqrt(5)) and theta lies in the IV quadrant, then the...

    Text Solution

    |

  9. sin^6A+cos^6A+3sin^2A cos^2A=\ a. 0 b. 1 c. 2 d. 3

    Text Solution

    |

  10. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

    Text Solution

    |

  11. If theta is an acute angle and t a ntheta=1/(sqrt(7)) , then the value...

    Text Solution

    |

  12. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

    Text Solution

    |

  13. If t a n A+cot A=4, then tan^4A+cot^4A is equal to 110 b. 191 c. 80 d....

    Text Solution

    |

  14. If xsin45^0cos^2 60^0=(tan^2 60^0cos e c\ 30^0)/(s e c 45^0cot^2 30^0)...

    Text Solution

    |

  15. If cos e ctheta+cottheta=(11)/2 , then t a ntheta= (21)/(22) (b) (15...

    Text Solution

    |

  16. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

    Text Solution

    |

  17. If s e ctheta+t a ntheta=k ,\ costheta= a.(k^2+1)/(2k) b. (2k)/(k^2+1...

    Text Solution

    |

  18. Which of the following is incorrect? a. sintheta=-1//5 b. costheta=1 c...

    Text Solution

    |

  19. The value of cos1^@. cos2^@. cos 3^@....cos 179^@= a. 1/sqrt2, b.0, c....

    Text Solution

    |

  20. The value of "tan"1^0tan2^0t a n3^0........t a n 89^0 is a. 0 b. 1 c. ...

    Text Solution

    |