Home
Class 11
MATHS
Find the value of sin (alpha - beta), co...

Find the value of `sin (alpha - beta), cos (alpha -beta) and tan (alpha - beta),` given
`sin alpha = (8)/(17) , tan beta = (5)/(12), alpha and beta ` in Quadrant I.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise EXERCISE 5 (B) |35 Videos

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise EXERCISE 5 (C ) |30 Videos

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise CHEPTER TEST |23 Videos

  • COMPLEX NUMBERS

    ICSE|Exercise Chapter Test|25 Videos

  • CONIC SECTIONS

    ICSE|Exercise Multiple Choice Questions |33 Videos

Similar Questions

Explore conceptually related problems

Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (alpha + beta), given sin alpha = (3)/(5) , cos beta = (5)/(13), alpha and beta in Quadrant I.

Find the value of sin (alpha - beta), cos (alpha -beta) and tan (alpha - beta), given cos alpha = (-12)/(13) , cot beta = (24)/(7), alpha in Quadrant II, beta in Quadrant I.

Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (alpha + beta), given cos alpha = ( -12)/(13), cot beta = (24)/( 7), alpha in Quadrant II, beta in Quadrant III.

If cos(alpha+beta)=0 then sin(alpha+2beta)=

alpha + beta = 5 , alpha beta= 6 .find alpha - beta

Show that (sin (alpha + beta))/( sin (alpha + beta)) = 2, given that tan alpha = 2 tan beta.

If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)/2) is equal to-

If sin alpha + sin beta=a and cos alpha+cosbeta=b then tan((alpha-beta)/2) is equal to

Prove that (sin alpha cos beta + cos alpha sin beta) ^(2) + (cos alpha coa beta - sin alpha sin beta) ^(2) =1.

Prove that 2 sin^2 beta + 4 cos(alpha + beta) sin alpha sin beta + cos 2(alpha + beta) = cos 2alpha

ICSE-COMPOUND AND MULTIPLE ANGLES -EXERCISE 5(A)
  1. Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (a...

    Text Solution

    |

  2. Find the value of sin (alpha + beta) , cos (alpha + beta) , and tan (a...

    Text Solution

    |

  3. Find the value of sin (alpha - beta), cos (alpha -beta) and tan (alph...

    Text Solution

    |

  4. Find the value of sin (alpha - beta), cos (alpha -beta) and tan (alph...

    Text Solution

    |

  5. If A and B are acute angles, find (A+B) given sin A = (1)/(sqrt5) ,...

    Text Solution

    |

  6. If A and B are acute angles, find (A+B) given tan A = (5)/(6), tan ...

    Text Solution

    |

  7. Given that tan alpha = (m)/( m +1), tan beta = (1)/(2m +1) then what i...

    Text Solution

    |

  8. In the Delta ABC the foot of the perpendicular from A to BC is D. Give...

    Text Solution

    |

  9. Given that tan (A+ B) =1 and tan (A-B) = 1/7, find without using tab...

    Text Solution

    |

  10. If tan (A +B) = x and tan B = 1/2 prove that tan A = (2 x -1)/(x +2) ...

    Text Solution

    |

  11. If sin (alpha + beta) = 4/5 , sin (alpha -beta) = (5)/(13), alpha + be...

    Text Solution

    |

  12. Prove that 1 + tan 2 theta tan theta = sec 2 theta .

    Text Solution

    |

  13. Show that 4 sin ((pi)/(3) - theta ) sin ((pi)/(3) + theta) =3-4 sin ^(...

    Text Solution

    |

  14. ( cos 17^(@) + sin 17^(@))/( cos 17^(@) - sin 17^(@)) = tan 62^(@)

    Text Solution

    |

  15. tan 3A - tan 2 A - tan A = tan 3 A tan 2 A tan A.

    Text Solution

    |

  16. tan 75 ^(@) - tan 30^(@)- tan 75^(@) tan 30^(@) =1.

    Text Solution

    |

  17. Prove that cos 2 theta cos 2 phi + sin ^(2) ( theta - phi) -sin ^(2) (...

    Text Solution

    |

  18. If sin (theta + alpha ) = cos ( theta + alpha), prove that tan theta ...

    Text Solution

    |

  19. Given that A = B +C. prove that tan A - tan B - tan C = tan A tan B ...

    Text Solution

    |

  20. If A +B = 45 ^(@), show that tan A + tan B + tan A tan B =1. Hence or ...

    Text Solution

    |