Home
Class 9
MATHS
sqrt(((1+sin2theta))/(1-cos^(2)theta))["...

`sqrt(((1+sin2theta))/(1-cos^(2)theta))["where" theta in [0,(pi)/(4)]]=`

A

`"cosec"^(2) theta `

B

`1`

C

`1+ cot theta `

D

`1+ tan theta `

Text Solution

Verified by Experts

The correct Answer is:
C

`1+ sin 2 theta =( sin theta + cos theta )2, " when" theta in[0,(pi)/(4)]`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 2|20 Videos
  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos
  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Easy Type Questions|5 Videos
  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL-3|19 Videos

Similar Questions

Explore conceptually related problems

sqrt((1-sin theta)/(1+sin theta))={sec theta-tan theta, if -(pi)/(2)

If f(theta)=sin(tan^(-1)((sin theta)/(sqrt(cos2 theta)))), where -(pi)/(4)

Prove that sqrt(1+sin theta)/sqrt(1-sin theta)=sec theta + tan theta ,-(pi)/(2) lt theta lt (pi)/(2)

Prove that sqrt((1-cos2 theta)/(1+cos2 theta))=tan theta where tan theta>0

Prove that sqrt((1-cos2 theta)/(1+cos2 theta))=tan theta where tan theta>0

The value of 3(cos theta-sin theta)^(4)+6(sin theta+cos theta)^(2)+4 sin^(6) theta is where theta in ((pi)/(4),(pi)/(2)) (a) 13-4cos^(4) theta (b) 13-4cos^(6) theta (c) 13-4cos^(6) theta+ 2 sin^(4) theta cos^(2) theta (d) 13-4cos^(4) theta+ 2 sin^(4) theta cos^(2) theta

The minimum value of y=(1+sin^(2)theta+sin^(4)theta+sin^(6)theta+...)+(1+cos^(2)theta+cos^(4)theta+cos^(6)theta+ .) in theta in(0,(pi)/(2)) is

if A = [[cos theta, sin theta],[-sin theta, cos theta]] where theta = (2pi)/(7) then sum_(r=1)^(6) A^(r) =

I=int_(0)^( pi/4)(sin2 theta)/(sin^(2)theta+cos^(4)theta)d theta

If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)theta,4cos6theta),(cos^(2)theta,sin^(2)theta,1+4cos6theta):}|=0 , and theta in (0,(pi)/(2)) , then value of theta is

PEARSON IIT JEE FOUNDATION-TRIGONOMETRY -Level 1
  1. The value of (3 pi^( c))/(5) in sexagesimal measure is

    Text Solution

    |

  2. The value of log(sec theta ) (1- sin^(2) theta ) is

    Text Solution

    |

  3. If sinA=(sqrt(3))/(2) and A is an acute angle, then find the value of...

    Text Solution

    |

  4. The length of an arc, which subtends an angle of 30^(@) at the centre ...

    Text Solution

    |

  5. If sin^(4) theta+cos^(4)theta=(1)/(2), then find sin theta cos theta .

    Text Solution

    |

  6. If sin theta=(a)/(b) , then cos theta and tan theta in term of a and...

    Text Solution

    |

  7. The distance covered by the tip of a minute hand in 35 minutes is 33 c...

    Text Solution

    |

  8. If sin alpha=(4)/(5), where (0^(@) le alpha le 90^(@)), then find sin ...

    Text Solution

    |

  9. In a DeltaABC, cos((A+B)/(2))=

    Text Solution

    |

  10. sin^(4) theta - cos^(4) theta=

    Text Solution

    |

  11. If P:Q= tan 2A: cos A and Q: R= cos 2A: sin 2A, then P:R is

    Text Solution

    |

  12. If A=sin theta+ cos theta and B=sin theta - cos theta, then which of t...

    Text Solution

    |

  13. If cot(A-B)=1 and cos (A+B)=(1)/(2), then find B

    Text Solution

    |

  14. Find the measure of angle A, if (2 sin A +1)(2 sin A-1)=0

    Text Solution

    |

  15. The value of cos 2 theta in terms of cot theta is

    Text Solution

    |

  16. The simplified value of sin^(4)alpha+cos^(4)alpha+(1)/(2) sin^(2) 2 al...

    Text Solution

    |

  17. sqrt(((1+sin2theta))/(1-cos^(2)theta))["where" theta in [0,(pi)/(4)]]=

    Text Solution

    |

  18. If A and B are complementary angles, then the value of (sin^(2)A + sin...

    Text Solution

    |

  19. Find the value of 4(sin^(4)30^(@)+cos^(4)30^(@))-3(cos^(2)45^(@)+sin^(...

    Text Solution

    |

  20. If sec theta + tan theta=(4)/(3), then sec theta tan theta =

    Text Solution

    |