Home
Class 12
MATHS
If tan (pi cos theta)=cot (pi sin theta)...

If `tan (pi cos theta)=cot (pi sin theta), 0ltthetalt(3 pi)/(4)` then, `sin (theta+(pi)/(4))` equals

A

`(1)/(sqrt(2))`

B

`(1)/(2)`

C

`(1)/(2 sqrt(2))`

D

`sqrt(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos
  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

If tan(picos theta) = cot(pisin theta) , then cos(theta - pi/4) is :

If cosec theta-cot theta=(1)/(2), 0 lt theta lt(pi)/(2) then cos theta=

If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi//4) is equal to

If 3 sin 2 theta=2 sin 3 theta and 0 lt theta lt pi then sin theta=

If (pi)/(2) lt theta lt (3 pi)/(2) then sqrt((1-sin theta)/(1+sin theta)) equals to

(sin theta+cos theta)(tan theta+cot theta)=

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

If : cot theta + cot((pi)/4 + theta) = 2 , then : theta =

cot theta=sin 2 theta,(theta ne n pi), if theta

int_(-pi/2)^(pi/2) cos theta (1+ sin theta)^(2) d theta =

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If tan x=(b)/(a) then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

    Text Solution

    |

  2. If tan(picos theta) = cot(pisin theta), then cos(theta - pi/4) is :

    Text Solution

    |

  3. If tan (pi cos theta)=cot (pi sin theta), 0ltthetalt(3 pi)/(4) then, s...

    Text Solution

    |

  4. If 0 lt x lt (pi)/(4) then sec 2 x-tan 2 x=

    Text Solution

    |

  5. If tan A+cot A=4 then tan ^(4) A+cot ^(4) A=

    Text Solution

    |

  6. The value of 4 sin A cos ^(3) A-4 cos A sin ^(3)A

    Text Solution

    |

  7. Maximum value of 6 sin x cos x+4 cos 2 x

    Text Solution

    |

  8. sin ^(6) theta+cos ^(6) theta+3 sin ^(2) theta . cos ^(2) theta=

    Text Solution

    |

  9. If 1+sin x+sin ^(2) x+….. to infty=4+2root 3 , 0 lt x lt pi then x=

    Text Solution

    |

  10. If for real values of x, cos theta=x+(1)/(x), then

    Text Solution

    |

  11. If sin theta(1)+sin theta(2)+sin theta(3)=3 then cos theta(1)+cos thet...

    Text Solution

    |

  12. If sec x=P and cosec x=Q then

    Text Solution

    |

  13. If tan theta+sec theta=sqrt(3), 0 lt theta lt pi then theta=

    Text Solution

    |

  14. log tan 1^(circ)+log tan 2^(circ)+... .+log tan 89^(circ)=

    Text Solution

    |

  15. The value of e^(log(10) tan 1^(o) +…. + log(10) tan 89^(o) is

    Text Solution

    |

  16. cos ^(2) 5^(circ)+cos ^(2) 10^(circ)+cos ^(2) 15^(circ)+….+cos ^(2) 90...

    Text Solution

    |

  17. The value of cot 5^(circ) . cot 10^(circ) .. . cot 85^(circ) is

    Text Solution

    |

  18. cot 7 (1)/(2)^(circ)=

    Text Solution

    |

  19. If x . tan 45^(circ) . cos 60^(circ)=sin 60^(circ) cot 60^(circ), then...

    Text Solution

    |

  20. (sin 70^(@) + cos 40^(@))/(cos 70^(@) + sin 40^(@)) =

    Text Solution

    |