The domain of definition of the function `f(x)=sqrt(-cosx)+sqrt(sinx)` is: `[2npi,2npi+pi/2],n in I` b. `[2npi,(2n+1)pi],n in I` c. `[2n+1/2pi(2n+1)pi],n in I` d. `[(2n+1)pi,(2n+3/2)pi],n in I`

The domain of the function f(x)=sqrt(log(1/(|sinx|))) (a) R-{-pi,pi} (b) R-{npi|npiZ} (c) R-{2npi|n in z} (d) (-oo,oo)

The general solution of the equation sin^(100)x-cos^(100)x=1 is (a) 2npi+pi/3,n in I (b) n pi+pi/2,n in I (c) npi+pi/4,n in I (d) 2npi=pi/3,n in I

The function f(x) is defined on the interval [0.1] Then match the following columns Column I: Function, Column II: Domain f(tanx) , p. [2npiddotpi/2,2npi+pi/2],n in Z f(sinx) , q. [2npi,2npi+pi/6]uu[2npi+(5pi)/6,(2n+1)pi],n in Z f(cosx) , r. [2npi,(2n+1)pi],n in Z f(2sinx) , s. [npi,npi+pi/4],n in Z

General solution of the equation sin5theta+cos4theta=2 is (1) (4n+1)pi/2,n in I (2) (4n-1)pi/2,n in I (3) (2n+1)pi/2,n in I (4) (6n+1)pi/2,n in I

The roots of the equation cot x-cosx=1-cot xcos x are (1) npi+pi/4,n in I (2) 2npi+pi/4,n in I (3) 2npi+-pi or npi+pi/4,n in I (4) 2npi+pi or (4n+1)pi/4,n in I (5) npi,n in I

The function f(x)=tanx is discontinuous on the set {npi; n in Z} (b) {2npin in Z} {(2n+1)pi/2: n in Z} (d) {(npi)/2: n in Z}

The domain of the function f(x)=x/(sqrt(sin(lnx)-cos(lnx))),(n in Z) is (a) (e^(2npi),e^((3n+1/2)pi)) (b) (e^((2n+1/4)pi),e^((2n+5/4)pi)) (e^((2n+1/4)pi),e^((2n-3/4)pi)) (d) none of these

The general value of x satisfying the equation satisfying the equation sqrt(3)sin x+cos x=sqrt(3) is given by x=npi+(-1)^npi/4+pi/3,\ n Z b. x=npi+(-1)^npi/3+pi/6,\ n Z c. x=npi+-pi/6, n Z d. x=npi+-pi/3, n Z

The general solution of the following equation : 2(sinx-cos2x)-sin2x)\ (1+2sinx)+2cosx=0 is/are x=2npi\ ;\ n in I (b) npi+(-1)^n(-pi/2);\ n in I x=npi+(-1)^npi/6;\ n in I x=npi+(-1)^npi/4;\ n in I

Which of the following is not the general solution of 2^(cos2x)+1=3. 2^(-sin^2 x)? (a) npi,n in Z (b) (n+1/2)pi,n in Z (c) (n-1/2)pi,n in Z (d) none of these