Home
Class 11
MATHS
Find sin (x - y) given that sin x = (8)/...

Find sin (x - y) given that sin x = `(8)/(17)` with 0`lt x lt (pi)/(2)` and cos y = - `(24)/(25)` with `pi lt y lt (3pi)/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`-(87)/(425)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.5|11 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.6|14 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.3|6 Videos

  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

Find cos (x - y), given that cos x = - (4)/(5) with pi lt x lt (3pi)/(2) and sin y = - (24)/(25) with pi lt y lt (3pi)/(2) .

Find the values of cos x and tan x if sin x = - (3)/(5) and pi lt x lt (3pi)/(2) .

If cos theta - sin theta = (1)/(5) , where 0 lt theta lt (pi)/(4) , then

If sin A = (3)/(5) and cos B = (9)/(41) , 0 lt A lt (pi)/(2), 0 lt B lt (pi)/(2) Find the value of sin (A + B)

Prove that pi/2 le sin ^(-1) x +2 cos^(-1) x lt (3 pi)/(2)

If sin x = (15)/(17) and cos y = (12)/(13),0 lt x lt (pi)/(2) , 0 lt y lt (pi)/(2) , find the values of sin (x + y)

If sin x = (15)/(17) and cos y = (12)/(13),0 lt x lt (pi)/(2) , 0 lt y lt (pi)/(2) , find the values of cos(x - y)

If sin x = (15)/(17) and cos y = (12)/(13),0 lt x lt (pi)/(2) , 0 lt y lt (pi)/(2) , find the values of tan(x + y)

If sin A = (3)/(5) and cos B = (9)/(41) , 0 lt A lt (pi)/(2), 0 lt B lt (pi)/(2) Find the value of cos (A - B)

FULL MARKS-TRIGONOMETRY-Exercise 3.4
  1. If sin A = (3)/(5) and cos B = (9)/(41), 0 lt A lt (pi)/(2), 0 lt B lt...

    Text Solution

    |

  2. Find cos (x - y), given that cos x = -(4)/(5) with pi lt x lt (3pi)/(2...

    Text Solution

    |

  3. Find sin (x - y) given that sin x = (8)/(17) with 0lt x lt (pi)/(2) an...

    Text Solution

    |

  4. Find the value of cos 105^(@)

    Text Solution

    |

  5. Prove that sin (pi + theta) = - sin theta

    Text Solution

    |

  6. Find a quadratic equation whose roots are sin 15^(@) and cos 15^(@)

    Text Solution

    |

  7. Expand cos ( A + B + C). Hence prove that cos A cos B cos C = sin A si...

    Text Solution

    |

  8. Prove that sin (45^(@) + theta) - sin (45^(@) - theta) = sqrt(2) sin...

    Text Solution

    |

  9. If a cos (x + y) = b cos (x - y), show that (a + b)tan x = (a - b) cot...

    Text Solution

    |

  10. Prove that sin 105^(@) + cos 105^(@) = cos 45^(@)

    Text Solution

    |

  11. Prove that sin 75^(@) - sin 15^(@) = cos 105^(@) + cos 15^(@)

    Text Solution

    |

  12. Show that tan 75^(@) + cot 75^(@) = 4

    Text Solution

    |

  13. Prove that cos (A + B) cos C - cos (B + C) cos A = sin B sin (C - A)

    Text Solution

    |

  14. Prove that sin (n + 1)theta sin (n - 1) theta + cos (n + 1)theta cos (...

    Text Solution

    |

  15. If x cos theta = y cos (theta + (2pi)/(3))= z cos (theta + (4pi)/(3)) ...

    Text Solution

    |

  16. Prove that sin ( A + B) sin (A - B) = sin^(2) A - sin^(2)B.

    Text Solution

    |

  17. Show that cos^(2) A + cos^(2)B - 2 cos A cos B cos (A + B) = sin^(2) (...

    Text Solution

    |

  18. If cos (alpha - beta) + cos (beta - gamma) + cos (gamma - alpha) = (-3...

    Text Solution

    |

  19. Show that tan(45^(@) + A) = (1 + tan A)/(1 - tan A)

    Text Solution

    |

  20. Prove that cot (A + B) = (cot A cot B - 1)/(cot A + cot B)

    Text Solution

    |