Home
Class 10
MATHS
If (cos x)/(cosy)=n and (sinx)/(siny)=m...

If `(cos x)/(cosy)=n and (sinx)/(siny)=m`, what is the value of `(m^(2)-n^(2))sin^(2)y`?

Text Solution

Verified by Experts

The correct Answer is:
`1-n^(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos

  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

If siny=x sin(a+y) , then the value of (dy)/(dx) is -

If y=a cos m x-b sin m x , then the value of (d^(2)y)/(dx^(2)) is -

If x , y in [0,2pi]a n dsinx+siny=2, then the value of x+y is

If f(2x+3)=sinx+2^(x) , then the value of f(4m-2n+3) is -

If f (2x+3) =sin x+2^(x), then the value of f (4m-2n+3) is-

If x = m cosec alpha and y = n cot alpha , then the value of (x^2)/(m^2) - (y^2)/(n^2) is

If (x+y)^(m+n)=x^(m)y^(n) , then the value of (dy)/(dx) is -

If lim_(xrarr0)(tanx-sinx)/x^3=M/N and M = 3, then the value of N is

Given, x cos^(3)y + 3x cosy sin^(2)y =14 and xsin^(3)y + 3x cos^(2)y siny=13 . Value of sin^(2)y + 2cos^(2)y is-

CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES -EXERCISE
  1. Find the value of sin^(3)60^(@) cot 30^(@)-2 sec^(2) 45^(@)+3 cos60^(@...

    Text Solution

    |

  2. If (cos theta)/(1-sin theta)-(costheta)/(1+sin theta)=2, then find the...

    Text Solution

    |

  3. If (cos x)/(cosy)=n and (sinx)/(siny)=m, what is the value of (m^(2)...

    Text Solution

    |

  4. If x cos 60^(@)+y cos0^(@)=3 and 4x sin 30^(@) -y cot 45^(@)=2, then ...

    Text Solution

    |

  5. In DeltaPQR, angleQ=90^(@). If angleP=alpha, angleR=beta, PQ=3 and QR...

    Text Solution

    |

  6. If tan^(2) 45^(@)-cos^(2) 60^(@)=x sin 45^(@) cos45^(@) tan 60^(@), t...

    Text Solution

    |

  7. If sec(alpha-beta)=sqrt(2) and sin(alpha+beta)=(1)/(2), then find the...

    Text Solution

    |

  8. If sin27^(@)=0.454, then find the value of cos 243^(@) .

    Text Solution

    |

  9. If tanA+sinA=p and tanA-sinA=q, then which one of the following is cor...

    Text Solution

    |

  10. If cos theta ge (1)/(2) in the first quardrant, which one of the follo...

    Text Solution

    |

  11. If A=sin^(4) theta+cos^(4) theta, then which one of the followings is...

    Text Solution

    |

  12. If (1+tanA)(1+tanB)=2, then tan(A+B)=

    Text Solution

    |

  13. Write 'true' or 'false' : sec theta=(2xy)/(x^(2)+y^(2))

    Text Solution

    |

  14. Write 'true' or 'false' : sin theta=(x^(2)+y^(2))/(2xy)

    Text Solution

    |

  15. Fill in the blanks : If sin^(4)A+sin^(2)A=1, then cot^(4)A+cot^(2)...

    Text Solution

    |

  16. Fill in the blanks : "tan"(pi)/(16) "tan"(3pi)/(16)"tan"(5pi)/(16)"t...

    Text Solution

    |

  17. Fill in the blanks : tan theta=sqrt(3), cos theta= -(1)/(2) and 0^(...

    Text Solution

    |

  18. If theta lies in the fourth quadrant and sec theta=(5)/(3), then the ...

    Text Solution

    |

  19. If cos (A-B)=(1)/(2) and cot(A+B)=sqrt(3), then find the least positiv...

    Text Solution

    |

  20. If n be an integer, then find the value of tan{(npi)/(2)+(-1)^(n).(pi...

    Text Solution

    |