Home
Class 11
MATHS
If tan x^(circ)=(3)/(4), piltxlt(3 pi)/(...

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

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    V PUBLICATION|Exercise QUESTIONBANK|99 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of (x^2 cos (pi/4))/(sin x)

If 0 lt x lt (pi)/(2) , then find tan ((pi)/(4)+ (x)/(2) ) + tan ((pi)/(4) - (x)/(2) )

Without using triangle,find the value of (sin x+cos x)/(sin x-cos x) if tan x=3/4 .

Evaluate int( sqrt(tan x)/(2 sin x cos x)) d x

If tan(cos^(-1)x)=sin(cot^(-1)""(1)/2) , then find the value of x.

If tan^(-1) (-x) + cos^(-1) ((-1)/(2)) = (pi)/(2) , then the value of x is

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

Find the value of int_0^(pi/2)sin^4x/(sin^4x+cos^4x)dx

If sin A =3//5and0^(@)ltAlt90^(@) , find the values of sin 2A , cos 2A , tan 2A , and sin 4A.

Find the value of sin(2tan^-1frac(2)(3))+cos(tan^-1sqrt3)

V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
  1. Prove that cos 2 x cos (x/2)-cos 3 x cos ((9x)/2)=sin 5 x sin ((5 x)/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Prove that cos 24^(circ)+cos 55^(circ)+cos 125^(circ)+cos 204^(circ)+...

    Text Solution

    |

  19. Prove that sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))=2 cos theta

    Text Solution

    |

  20. Solve the following equations 2 tan theta-cot theta=-1

    Text Solution

    |