Let `tanx-tan^2x >0` and `|2sinx|<1` . Then the intersection of which of the following two sets satisfies both the inequalities? `x > npi,n in Z` (b) `x > npi-pi/6,n in Z` `x

Let tanx-tan^2x >0 and |2sinx| x > npi,n in Z (b) x > npi-pi/6,n in Z x

Which of the following set of values of x satisfies the equation 2^(2sin^2x-3sinx+1)+2^(2-2sin^2x+3sinx)=9? (a) x=npi+-pi/6,n in I (b) x=npi+-pi/3, n in I (c) x=npi,n in I (d) x=2npi+pi/2,n in I

General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-pi/4, n in 1 (c) npi+pi/4,\ n in 1 (d) none of these

If 4sin^2theta=1, then the values of theta are 2npi+-pi/3,\ n in Z b. npi+-pi/3,\ n in Z c. npi+-pi/6,\ n in Z d. 2npi+-pi/6,\ n in Z

If the vectors vec aa n d vec b are linearly idependent satisfying (sqrt(3)tantheta+1 )veca+(sqrt(3)s e ctheta-2) vec b=0, then the most general values of theta are a. npi-pi/6, n in Z b. 2npi+-(11pi)/6, n in Z c. npi+-pi/6, n in Z d. 2npi+(11pi)/6, n in Z

The set of values of x satisfying the equation sin3alpha=4sinalphasin(x+alpha)sin(x-alpha) is (a) npi+-pi/4,AAn in Z (b) npi+-pi/3,AAn in Z (c) npi+-pi/9,AAn in Z (d) npi+-pi/(12),AAn in Z

The solution(s) of 4cos^2xsinx-2sin^2x=3sinx is/are npi; n in I (b) npi+9(-1)^npi/(10); n in I npi+(-1)^n(-(3pi)/(10)); n in I none of these

If 4\ cos^2theta+sqrt(3)=2(sqrt(3)+1)costheta, then theta is 2npi+-pi/3, n in I (b) 2npi+-pi/4, n in I 2npi+-\ pi/6, n in I (d) none of these

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

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