Home
Class 11
MATHS
If p=(2sin theta)/(1+cos theta+sin theta...

If `p=(2sin theta)/(1+cos theta+sin theta), and q=(cos theta)/(1+sin theta)`, then

A

`pq=1`

B

`q/p=1`

C

`q-p=1`

D

`p+q=1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|33 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

(sin theta)/(1-cos theta)=(1+cos theta)/(sin theta)

If x=(2sin theta)/(1+cos theta+sin theta), then prove that (1-cos theta+sin theta)/(1+sin theta) is equal to x

(cos theta)/(1-sin theta)=(1+cos theta+sin theta)/(1+cos theta-sin theta)

(1+cos theta+sin theta)/(1+cos theta-sin theta)=(1+sin theta)/(cos theta)

Prove each of the following identities : (i) (1+ cos theta + sin theta)/(1+ cos theta - sin theta) =(1+ sin theta)/(cos theta) (ii) (sin theta + 1- cos theta)/(cos theta - 1 + sin theta) = (1+ sin theta)/(cos theta)

(1 + sin theta-cos theta) / (1 + sin theta + cos theta)

" 4."(sin theta)/(1+cos theta)+(1+cos theta)/(sin theta)=(2)/(sin theta)

((sin theta+cos theta-1)/(sin theta-cos theta+1))(1+sin theta) =

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -CRITICAL THINKING
  1. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

    Text Solution

    |

  2. If 10sin^4 alpha+15 cos^4 alpha=6, then find the value of 27 cosec^6 a...

    Text Solution

    |

  3. sin alpha =(2xy)/(x^2+y^2) => sec alpha - tan alpha=

    Text Solution

    |

  4. If sec theta - tan theta =(a+1)/(a-1), then cos theta =

    Text Solution

    |

  5. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= x ,1/x (b) 2x ,1/(...

    Text Solution

    |

  6. The value of sin^(6)((pi)/(49))+cos^(6)((pi)/(49))-1+3sin^(2)((pi)/(...

    Text Solution

    |

  7. If (2sinalpha)/({1+cos alpha+sin alpha})=y, then ({1-cos alpha+sin alp...

    Text Solution

    |

  8. The value of the expression 1- (sin^(2)y)/(1+ cos y) + (1+ cos y)/(s...

    Text Solution

    |

  9. (2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )...

    Text Solution

    |

  10. If A is an obtause angle, then (sin^(3)A-cos^(3))/(sinA-cosA)+(sinA)/(...

    Text Solution

    |

  11. x/acostheta+y/bsintheta=1, x/asintheta-y/bcostheta=1 then x^2/a^2+y^...

    Text Solution

    |

  12. If xsin^3alpha+ycos^3alpha=sinalpha cos alpha and xsinalpha-ycosalpha...

    Text Solution

    |

  13. If acos^3alpha+3acosalphasin^2alpha=m and asin^2alpha+3acos^2alphasina...

    Text Solution

    |

  14. IF tan ^(2) alpha tan ^(2) beta + tan ^(2) beta tan ^(2) gamma + tan ^...

    Text Solution

    |

  15. If p=(2sin theta)/(1+cos theta+sin theta), and q=(cos theta)/(1+sin th...

    Text Solution

    |

  16. If x = sec phi - tan phi and y = cos ec phi + cot phi , then

    Text Solution

    |

  17. If sintheta1+sintheta2+sintheta3, then costheta1+costheta2+costheta3 i...

    Text Solution

    |

  18. If (a+b)^2/(4ab)=sin^2theta, then

    Text Solution

    |

  19. The maximum value of 12 sin theta -9 sin ^(2) theta is

    Text Solution

    |

  20. If A = sin^2 theta+ cos^4 theta, then for all real values of theta

    Text Solution

    |