Home
Class 12
MATHS
Let tan(2pi|sintheta|)=cot(2pi|costheta|...

Let `tan(2pi|sintheta|)=cot(2pi|costheta|)` , where `theta in R` and `f(x)=(|sintheta|+|costheta"|"")"^x ,xgeq1.` The range of `f(x)` include 1 (b) 2 (c) 3 (d) 4

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

(sintheta-costheta+1)/(sintheta+costheta-1) (where theta ne (pi)/(2)) is equal to

If z = (3+isintheta)/(4-icostheta) is purely real and theta in (pi/2,pi) ,then arg(sintheta + i costheta) is -

(2sintheta)/(costheta(1+tan^(2)theta)) simplifies to :

If sintheta + 2 costheta=1 ,then prove that 2sintheta-costheta=2 .

If cosec^(2)theta+cot^(2)theta=7 find sintheta&costheta

Solve for x : x^2 - ( sintheta + costheta ) x + sintheta costheta = 0

Prove that sintheta (1 + Costheta) is the greatest at theta=pi/3

((1-sintheta+costheta)^(2))/((1+costheta)(1-sintheta))=?

Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2sectheta

If x=ae^(theta)(sintheta-costheta),y=ae^(theta)(sintheta+costheta)," then "((dy)/(dx))" at "theta=(pi)/(2) is

RESONANCE DPP-JEE MAINS-All Questions
  1. In which of the following function, range is not singleton set f(x)...

    Text Solution

    |

  2. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

    Text Solution

    |

  3. Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...

    Text Solution

    |

  4. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

    Text Solution

    |

  5. If A=([a(i j)])(3x3') such that a(i j)={2,,i=j0,i!=j ,t h e n |A|=8 ...

    Text Solution

    |

  6. Which of the following intervals is possible domain of the function...

    Text Solution

    |

  7. The domain of the function f(x)=1/(sqrt(^(10)C(x-1)-3.^(10)Cx)) conta...

    Text Solution

    |

  8. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  9. Which of the following is true?

    Text Solution

    |

  10. Show that the substitution z=ln(tan(x/2)) changes the equation (d^2y)/...

    Text Solution

    |

  11. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

    Text Solution

    |

  12. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x)=f(x1+x2) (b)f(x+...

    Text Solution

    |

  13. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

    Text Solution

    |

  14. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

    Text Solution

    |

  15. Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...

    Text Solution

    |

  16. Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0....

    Text Solution

    |

  17. If x^m y^n=(x+y)^(m+n), then (dy)/(dx) is (x+y)/(x y) (b) x y (c) x/...

    Text Solution

    |

  18. The function f(x)=sqrt((a x^3+b x^2+c x+a)) ha sits non-zero local m...

    Text Solution

    |

  19. If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...

    Text Solution

    |

  20. STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1)...

    Text Solution

    |