Home
Class 9
MATHS
In the given figure, BC=15 cm and sin B ...

In the given figure, BC=15 cm and sin B = `4/5` .
Calculate the measures of AB and AC.

Also , show that : `tan^2B - 1/(cos^2B)=-1`

Text Solution

Verified by Experts

The correct Answer is:
AB = 25 cm and AC = 20 cm
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(A)|47 Videos

  • TRIANGLES

    ICSE|Exercise 4 MARKS QUESTIONS |24 Videos

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(C)|118 Videos

Similar Questions

Explore conceptually related problems

In the given figure, angle B = 60^(@), AB = 16 cm and BC = 23 cm. Calculate: (i) BE

In the given figure, angle B = 60^(@), AB = 16 cm and BC = 23 cm. Calculate: (ii) AC.

In DeltaABC , right - angled at B , AC = 20 cm and tan angleACB = 3/4 , calculate the measures of AB and BC.

In triangle ABC, AB = AC = 15 cm and BC = 18 cm. Find : cos B

In the given figure A, B and C are points on OP, OQ and OR respectively such that AB||PQ and BC||QR. Show that AC||PR.

In the given figure, AB and DE are perpendiculars to BC If AB = 6 cm, DE = 4 cm and AC = 15 cm. Calculate CD.

In triangle ABC, AB = AC = 15 cm and BC = 18 cm. Find : tan^2B - sec^2 B+2

If tan A = n tan B and sin A = m sin B, prove that : cos^(2) A = (m^(2) - 1)/(n^(2) - 1)

In the given figure, AB and DE are perpendicular to BC. (iI) If AB = 6 cm, DE = 4 cm and AC = 15 cm. Calculate CD.

In the given, figure triangle ABC is right angled at B. D is the foot of the perpendicular from B to AC. Given that BC = 3 cm and AB = 4 cm. Find : (i) tan angle DBC (ii) sin angle DBA

ICSE-TRIGONOMETRICAL RATIOS -EXERCISE 22(B)
  1. Using the measurements given in the following figure : Find the valu...

    Text Solution

    |

  2. Using the measurements given in the following figure : Write an exp...

    Text Solution

    |

  3. In the given figure, BC=15 cm and sin B = 4/5 . Calculate the measu...

    Text Solution

    |

  4. In the given figure, BC=15 cm and sin B = 4/5 . Now, if tan angleAD...

    Text Solution

    |

  5. If sin A + cosec A = 2, find the value of sin^2 A + "cosec"^2 A.

    Text Solution

    |

  6. If tan A + cot A = 5, find the value of tan^2 A + cot^2 A.

    Text Solution

    |

  7. Given : 4 sintheta = 3 cos theta , find the value of: sin theta

    Text Solution

    |

  8. Given : 4 sintheta = 3 cos theta , find the value of: cos theta

    Text Solution

    |

  9. Given : 4 sintheta = 3 cos theta , find the value of: cot^2 theta ...

    Text Solution

    |

  10. Given : 4 sintheta = 3 cos theta , find the value of: 4 cos^2theta-...

    Text Solution

    |

  11. Given : 17 cos theta = 15, find the value of tan theta + 2 sec theta.

    Text Solution

    |

  12. Given 5 cos A - 12 sin A = 0 , evaluate : (sinA+cosA)/(2 cosA-sinA)

    Text Solution

    |

  13. In the given figure, angleC = 90^@ and D is midpoint of AC. Find : ...

    Text Solution

    |

  14. In the given figure, angleC = 90^@ and D is midpoint of AC. Find : ...

    Text Solution

    |

  15. If 3 cos A = 4 sin A, find the value of : cos A

    Text Solution

    |

  16. If 3 cos A = 4 sin A, find the value of : 3 - cot^2A+ "cosec"^2A

    Text Solution

    |

  17. In triangle ABC, angleB = 90^@ and tan A = 0.75 If AC = 30 cm, find t...

    Text Solution

    |

  18. In rhombus ABCD, diagonals AC and BD intersect each other at point O. ...

    Text Solution

    |

  19. In triangle ABC, AB = AC = 15 cm and BC = 18 cm. Find : cos B

    Text Solution

    |

  20. In triangle ABC, AB = AC = 15 cm and BC = 18 cm. Find : sin C

    Text Solution

    |