Home
Class 11
MATHS
If sin x=(3)/(5), cos y=-(12)/(13), wher...

If `sin x=(3)/(5), cos y=-(12)/(13)`, where 'x' and 'y' both lie in second quadrant, find the value of 'sin(x+y)'

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    V PUBLICATION|Exercise QUESTIONBANK|99 Videos

Similar Questions

Explore conceptually related problems

If sin x = 3/5 and x lies in the second quadrant, find the values of cos x, tan x and sec x.

Find the derivative of y=(sin x)/x

Find sin(x/2), cos(x/2) and tan(x/2) if sinx=1/4 and x lies in the second quadrant.

Find sin(x/2) , cos(x/2) , and tan(x/2) if tanx=-4/3 and x is in the second quadrant.

If sin^(-1) x=y, then find the range of y

Find ( dy)/( dx) for y = sin^(-1) ( cos x) , where x in ( 0, 2 pi)

If (sin (x+y))/(sin (x-y))=(a+b)/(a-b) , show that a tan y=b tan x

If tan^(-1)(1/y)=-pi+cot^(-1)y , where y=x^2-3x+2 then find the value of x.

If y= (sin^(2)x)/(1+cot x)+ (cos^(2)x)/(1+tan x) , then y'(x) is equal to

V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
  1. Find the general solutions for each of the following equations sec^2 2...

    Text Solution

    |

  2. Find the principal and general solution of the following equation sin ...

    Text Solution

    |

  3. If sin x=(3)/(5), cos y=-(12)/(13), where 'x' and 'y' both lie in seco...

    Text Solution

    |

  4. Prove that cos 2 x cos (x/2)-cos 3 x cos ((9x)/2)=sin 5 x sin ((5 x)/...

    Text Solution

    |

  5. Find the value of tan (pi/8)

    Text Solution

    |

  6. If tan x^(circ)=(3)/(4), piltxlt(3 pi)/(2), find the value of sin (x)...

    Text Solution

    |

  7. Show that cos ^(2) x+cos ^(2)(x+(pi)/(3))+cos ^(2) (x-(pi)/(3))=(3)/(2...

    Text Solution

    |

  8. Prove that 2cos(pi/13)cos((9pi)/13)+cos((3pi)/13)+cos((5pi)/13)=0

    Text Solution

    |

  9. Prove that (sin 3 x+sin x) sin x+(cos 3 x-cos x)cosx=0

    Text Solution

    |

  10. Prove that (cosx+cosy)^2+(sinx-siny)^2=4cos^2((x+y)/2)

    Text Solution

    |

  11. Prove that (cos x-cos y)^(2)+(sin x-sin y)^(2)=4 sin ^(2)((x-y)/(2))

    Text Solution

    |

  12. Prove that sin 2 x+2 sin 4 x+sin 6 x=4 cos ^(2) x sin 4 x

    Text Solution

    |

  13. Prove that ((sin 7 x+sin 5 x)+(sin 9 x+sin 3 x))/((cos 7 x+cos 5 x)+(c...

    Text Solution

    |

  14. Show that sin 3 x+sin 2 x-sin x=4 sin x cos (x/2) cos ((3 x)/2)

    Text Solution

    |

  15. Find sin(x/2) , cos(x/2) , and tan(x/2) if tanx=-4/3 and x is in the s...

    Text Solution

    |

  16. Find sin(x/2) , cos(x/2) and tan(x/2) if cosx=(-1/3) and x lies in the...

    Text Solution

    |

  17. Find sin(x/2), cos(x/2) and tan(x/2) if sinx=1/4 and x lies in the sec...

    Text Solution

    |

  18. Prove that (sin x)/(1+cos x)=tan (x/2) Find the domain and range of f(...

    Text Solution

    |

  19. Hence write the value of cos 75^@.

    Text Solution

    |

  20. If (sin (x+y))/(sin (x-y))=(a+b)/(a-b), show that a tan y=b tan x

    Text Solution

    |