Home
Class 12
MATHS
Let S={theta in[0,2 pi):tan(pi cos theta...

Let `S={theta in[0,2 pi):tan(pi cos theta)+tan(pi sin theta)=0}`. Then `sum_(0inS)sin^(2)(theta+(pi)/(4))` is equal to `]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

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

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

If tan(pi cos theta)=cot(pi sin theta) then sin(theta+(pi)/(4)) equals

If "tan" (pi "cos" theta) = "cot"(pi "sin" theta), then the value(s) of "cos" (theta-(pi)/(4)) , is (are)

let theta in[-2 pi,2 pi] and 2cos^(2)theta+3sin theta=0 then sum of all solution is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. If the area of the region bounded by the curves y^(2)-2y=-x,x+y=0 is A...

    Text Solution

    |

  2. 9If the shortest between the lines (x+sqrt(6))/(2)=(y-sqrt(6))/(3)=(z-...

    Text Solution

    |

  3. Let S={theta in[0,2 pi):tan(pi cos theta)+tan(pi sin theta)=0}. Then s...

    Text Solution

    |

  4. Let y = y(x) be the solution of the differential equation x^3dy + (xy ...

    Text Solution

    |

  5. The area enclosed by the curves y^2+ 4x = 4 and y – 2x = 2 is:

    Text Solution

    |

  6. Let Ω be the sample space and A ⊆ Ω be an event.Given below are two st...

    Text Solution

    |

  7. The value of sum(r=0)^22 "^(22)Cr "^23Cr is

    Text Solution

    |

  8. Let alpha be a root of the equation (a – c) x^2 + (b – a) x + (c – b) ...

    Text Solution

    |

  9. lim(trarr0)(1^(1/sin^2t)+2^(1/sin^2t)+..n^(1/sin^2t))^(sin^2t)

    Text Solution

    |

  10. The distance of the point (–1, 9,–16) from the plane 2x + 3y – z = 5 m...

    Text Solution

    |

  11. Let N denote the number that turns up then a fair die is rolled. If th...

    Text Solution

    |

  12. Let f (x)={(x^2sin(1/x),x!=0,),(0,x=0,):} then at x = 0

    Text Solution

    |

  13. Let PQR be a triangle. The point A,B and C are on the sides QR, RP and...

    Text Solution

    |

  14. For the positive integers p,q ,r,x^(pq^2)=y^(qr)=z^(p^2r) and r = pq+1...

    Text Solution

    |

  15. tan^(-1)((1+sqrt3)/(3+sqrt3))+sec^-1(sqrt((8+4sqrt3)/(6+3sqrt3))) is e...

    Text Solution

    |

  16. The equation x^2-4x+[x]+3=x[x], where [x] denotes the greatest integer...

    Text Solution

    |

  17. Let p,q in R and (1-sqrt3i)^(200)=2^(199) (p=iq),i=sqrt(-1) then p+q+q...

    Text Solution

    |

  18. If A and B are two non-zero n × n matrices such that A^2 + B = A^2 B, ...

    Text Solution

    |

  19. Let a tangent to the curve y^2 = 24x meet the curve xy =2 at points A ...

    Text Solution

    |

  20. The distance of the point (7,–3,–4) form the plane passing through the...

    Text Solution

    |