Home
Class 14
MATHS
If [sintheta+costheta]/[sintheta-costhet...

If `[sintheta+costheta]/[sintheta-costheta]=3`,then find the value of `sin^4theta-cos^4theta`

A

`1/5`

B

`2/5`

C

`3/5`

D

`4/5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ARIHANT SSC|Exercise Higher Skill Level Questions|34 Videos

  • TRIGONOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 11.1|5 Videos

  • TRIGONOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL - 1)|35 Videos

  • TIME, SPEED AND DISTANCE

    ARIHANT SSC|Exercise SPEED TEST (TSD)|10 Videos

  • TRUE DISCOUNT AND BANKER'S DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|23 Videos

Similar Questions

Explore conceptually related problems

If (sintheta+costheta)/(sintheta-costheta)=3 , then find the value of sin^(4)theta-cos^(4)theta .

If (sintheta+costheta)/(sintheta-costheta)=3 then the value of sin^(4)theta is :

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

If sin theta - cos theta =1/29 find the value of sintheta + costheta .

If Sintheta=costheta , find the value of theta

(sin3theta-cos3theta)/(sintheta+costheta)+1 =

If sintheta+costheta=1 , then the value of sin2theta is

If sintheta+costheta=1/2 then find the value of 16(sin2theta+cos4theta+sin6theta)

If sintheta-costheta=1 , then the value of sin^3theta-cos^3theta is __________ .

If sintheta+ costheta=1 , then find the general value of theta .

ARIHANT SSC-TRIGONOMETRY-Exercise Base Level Questions
  1. If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is

    Text Solution

    |

  2. If sin theta + cosec theta =2,then the value of sin^100 theta + cosec^...

    Text Solution

    |

  3. If [sintheta+costheta]/[sintheta-costheta]=3,then find the value of si...

    Text Solution

    |

  4. If theta be acute and tan theta + cot theta = 2, then the value of tan...

    Text Solution

    |

  5. If 0^@ lt theta lt 90^@, then all the trigonometric ratios can be obt...

    Text Solution

    |

  6. What is the value of (sin theta)/(1 +cos theta) + (1 + cos theta)/sin ...

    Text Solution

    |

  7. If sin theta cos theta = sqrt3//4,then the value of sin^4theta + cos^4...

    Text Solution

    |

  8. If 2 cot theta =3, then what is (2 cos theta -sin theta)/(2 cos theta...

    Text Solution

    |

  9. If cos theta + sin theta = sqrt2cos theta," then " cos theta -sin thet...

    Text Solution

    |

  10. If 3 sin x + 5 cos x =5, then what is the value of (3cos x - 5sin x)...

    Text Solution

    |

  11. If 0 lt x lt pi/2 and sec x = cosec y, then the value of sin (x + y) i...

    Text Solution

    |

  12. If sin 17^@ = x/y,then the value of sec 17^@ - sin 73^@ is

    Text Solution

    |

  13. यदि 2sin((pix)/(2))=x^(2)+(1)/(x^(2)) है तो (x-(1)/(x)) का मान ज्ञात ...

    Text Solution

    |

  14. समीकरण cos^(2)theta=((x+y)^(2))/(4xy) तभी संभव है?

    Text Solution

    |

  15. The value of sin^2 1^@ + sin^2 3^@ + sin^2 5^@ +…+ sin^2 87^@ + sin^2 ...

    Text Solution

    |

  16. If angle A and angle B are complementary to each other,then the value ...

    Text Solution

    |

  17. Find the value of sin^(2)5^(@)+ sin^(2)10^(@)+ sin^(2)15^(@)+* * * +si...

    Text Solution

    |

  18. If sin (3x - 20^@) = cos(3y + 20^@), then the value of (x + y) is

    Text Solution

    |

  19. If (sin theta + cos theta)/(sin theta - cos theta) = (5)/(4) , the val...

    Text Solution

    |

  20. The value of (sin 39^(@))/(cos 51^(@)) + 2 tan 11^(@) tan 31^(@) tan 4...

    Text Solution

    |