Home
Class 11
MATHS
If alpha , beta are complementary angles...

If `alpha , beta` are complementary angles , `sin alpha = 3//5` , then ` sin alpha cos beta - cos alpha sin beta `=

A

`(7)/(25)`

B

`- (7)/(25)`

C

`(25)/(7)`

D

`- (25)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE- II|52 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are complementary angles and sin alpha = (3)/(5) , then sin alpha cos beta - cos alpha sin beta =

If alpha, beta are complementary angles, sin alpha = (3)/(5) then cos alpha cos beta-sin alpha sin beta =

If alpha , beta are complementry angles such that bsin alpha = a , the find the value of (sin alpha cos beta - cos alpha sin beta) .

If alpha , beta are complementary angles , then sin^(2) alpha + sin^(2) beta =

If sin alpha = sin beta and cos alpha = cos beta then

sin alpha=sinbeta, cos alpha=cos beta then

If alpha , beta are supplementary angles , then cos^(2)alpha + sin^(2) beta =

If x= sin alpha + sin betga , y = cos alpha + cos beta tan alpha + tan beta =

(i) sin (alpha + beta) = sin alpha cos beta + cos alpha sin beta) (ii) sin (alpha-beta)= sin alpha cos beta- cos alpha sin beta Proof

AAKASH SERIES-TRIGONOMERTIC RATIOS-PRACTICE EXERCISE
  1. If ABCD is a quadrilateral then Sec^(2) ((A+B)/(4))- Cot^(2) ((C+D)/(...

    Text Solution

    |

  2. If ABCD is a cyclic quadrilateral then co (180^(@) +A) + cos (180^(@)...

    Text Solution

    |

  3. If alpha , beta are complementary angles , sin alpha = 3//5 , then s...

    Text Solution

    |

  4. Prove that sin^(2)5^(@) +sin^(2)10^(@) + sin^(2)15^(@)+...+sin^(2)90^(...

    Text Solution

    |

  5. cos^(2)5^(@)+cos^(2)10^(@)+cos^(2)15^(@)+.....+cos^(2) 90^(@)=

    Text Solution

    |

  6. cos^(@)cos2^(@)cos3^(@).......cos179^(@)=

    Text Solution

    |

  7. tan10^(@) tan 20^(@) tan 30^(@) tan 40^(@) tan 50^(@) tan 60^(@) tan 7...

    Text Solution

    |

  8. [(Tan ( pi - x) Tan (1.5 pi + x))/(Cos^(2)(x-1.5pi))-(Cos(1.5pi + x))/...

    Text Solution

    |

  9. If cos A = 3/4 then (2cos A + 3 sin A)/(4 cos A - sin A) =

    Text Solution

    |

  10. If theta is acute and (1-a^(2)) sin theta =(1+ a^(2)) cos theta , t...

    Text Solution

    |

  11. If cot theta=-3//4 and theta is not in the second quadrant , then ...

    Text Solution

    |

  12. If tan 20^(@) = lambda , " then " (tan 250^@ + tan 340^(@))/(tan 200^...

    Text Solution

    |

  13. 3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) ...

    Text Solution

    |

  14. If k=( sec A + tan A) ( sec B+ tan B) sec C + tan C)=(sec A - tan A)(s...

    Text Solution

    |

  15. In Delta le ABC, 3 tan A+4=0 then the quadratic equation whose roots a...

    Text Solution

    |

  16. If sin theta , cos theta are ther roots of the equation ax^(2)-bx+c...

    Text Solution

    |

  17. If (x)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y...

    Text Solution

    |

  18. If x = h + p Sec alpha, y = k + q cosec alpha then ((p)/(x-h))^(2) +((...

    Text Solution

    |

  19. If x=a("cosec" theta + cot theta ) , y=b( " cosec " theta - cot theta ...

    Text Solution

    |

  20. (1+cosec theta - cot theta)/(1+cosec theta + cot theta)=

    Text Solution

    |