Home
Class 14
MATHS
If theta lies in the first quadrant and ...

If `theta` lies in the first quadrant and `cos^2 theta-sin^2 theta=1/2`, then the value of `tan^2 theta+sin^2 3 theta` is :
यदि `theta` पहले चतुर्थाश में स्थित है और `cos^2 theta-sin^2 theta=1/2` है, तो `tan^2 theta+sin^2 3 theta` का मान ज्ञात करें |

A

`7/2`

B

3

C

4

D

`4/3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SSC MATHS MAINS 2018 TRIGNOMETRY

    PINNACLE|Exercise Exercise|29 Videos

  • WORK AND TIME

    PINNACLE|Exercise EXERCISE|209 Videos

Similar Questions

Explore conceptually related problems

If theta lies in the first quadrant and cos^2 theta - sin^2 theta = 1/2 then the value of tan^2 2 theta + sin^2 3 theta is:

If theta lies in the first quadrant and cos^(2)theta - sin^(2) theta = (1)/(2) , then the value of tan^(2) 2 theta + sin^(2) 3 theta is :

If theta lies in the first quadrant and 5tan theta=4 then (5sin theta-3cos theta)/(sin theta+2cos theta)=

If sin theta = cos theta ,then the value of 2 tan^(2) theta + sin^(2) theta -1 is equal to

If theta in the first quadrant and 5 tan theta =4 " then " ( 5 sin theta - 3 sin theta)/( sin theta + 2 cos theta) is equal to

If 5 cos theta -12 sin theta =0 , the value of (2 sin theta +cos theta )/(cos theta - sin theta ) यदि 5 cos theta -12 sin theta =0 , है, तो (2 sin theta +cos theta )/(cos theta - sin theta ) का मान ज्ञात करें |

If cos^2 theta+cos^4 theta=1 , then the value of sin theta +sin^2 theta is: यदि cos^2 theta+cos^4 theta=1 , sin theta +sin^2 theta का मान है:

If 3sin theta =2 cos^2 theta ,0^@ यदि 3sin theta =2 cos^2 theta ,0^@< theta <90^@ , है, तो (tan^2 theta + sec^2 theta -cosec^2 theta ) का मान ज्ञात करें |

Solve for theta : cos^2 theta-sin^2 theta=1/2,0 यदि cos^2 theta-sin^2 theta=1/2,0

PINNACLE-TRIGONOMETRY-EXERCISE
  1. ((2SinA)(1+SinA))/(1+SinA+CosA) is equal to : ((2SinA)(1+SinA))/(1+S...

    Text Solution

    |

  2. The value of ((cos9^@ + sin81^@) (sec9^@+ cosec81^@))/(sin56^@.sec34^@...

    Text Solution

    |

  3. If theta lies in the first quadrant and cos^2 theta-sin^2 theta=1/2, t...

    Text Solution

    |

  4. What is the value of cosec(65^@+theta) -sec(25^@-theta)+tan^2 20^@- co...

    Text Solution

    |

  5. ((1+cos theta)^2+ sin^2 theta)/ ((cosec^2 theta-1)sin^2 theta) =?

    Text Solution

    |

  6. ((1-tan theta)/(1-cot theta))^2 +1 =

    Text Solution

    |

  7. sqrt((cot theta+cos theta)/(cot theta -cos theta)) is equal to : sqr...

    Text Solution

    |

  8. If 5 sin theta-4cos theta=0, 0^@< theta< 90^@, then the value of (5 si...

    Text Solution

    |

  9. The value of ((sinA)/(1-cosA)+(1-cosA)/ (sinA)) div ((cot^2 A)/(1+cose...

    Text Solution

    |

  10. If (1+sin psi)/(1-sin psi)=p^2/q^2 then sec psi is equal to : यदि (1...

    Text Solution

    |

  11. The value of (sec psi(1-sin psi)(sin psi+ cos psi)(sec psi+tan psi))/(...

    Text Solution

    |

  12. The value of tan^2 psi+cot^2 psi-sec^2 psi.cosec^2 psi is equal to: ...

    Text Solution

    |

  13. (sec psi-tan psi)^2 (1+sin psi)^2 div sin^2 psi =?

    Text Solution

    |

  14. If 3(cot^2 psi-cos^2 psi)= cos^2 psi, @ <psi <90^@, then the value of ...

    Text Solution

    |

  15. If (cos theta )/(1-sin theta )+(cos theta )/(1+sin theta )=4, 0^@< the...

    Text Solution

    |

  16. The value of (sin (78^@+theta)-cos (12^@-theta)+(tan^2 70^@-cosec^2 20...

    Text Solution

    |

  17. The value of sqrt((cosec psi- cot psi)/(cosec psi+ cot psi)) div (sin ...

    Text Solution

    |

  18. If cosec 39^@=x, then the value of 1/( cosec^2 51^@)+sin^2 39^@+tan^2 ...

    Text Solution

    |

  19. If sec theta+tan theta=p,(p>1) then (cosec theta+1)/(cosec theta-1) =?...

    Text Solution

    |

  20. The value cosec(67^@ +theta)-sec (23^@ -theta)+cos 15^@ cos35^@ cosec ...

    Text Solution

    |