Home
Class 9
MATHS
If sin alpha=(4)/(5), where (0^(@) le al...

If `sin alpha=(4)/(5)`, where `(0^(@) le alpha le 90^(@))`, then find `sin 2 alpha`.

A

`(12)/(25)`

B

`-(24)/(25)`

C

`(25)/(24)`

D

`(24)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
D
Use ` sin 2 alpha=2 sin alpha cos alpha `.
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

Let cos(alpha+beta) =4/5 and let sin (alpha-beta)=5/13 where 0 le alpha, beta le (pi)/(4) then tan 2 alpha

Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13) , where 0 le alpha , beta=(pi)/(4) . Then tan2alpha=

Let cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) where 0<=alpha,beta<=(pi)/(4) then find tan(2 alpha)

If sin alpha=(4)/(5) , then find the value of sin 2 alpha .

If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha lie between 0 and (pi)/(4) , then find that value of tan2alpha .

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

    |