One of the general solutions of `4sin^4x+cos^4x=1` is `npi+-alpha/2,alpha=cos^(-1)(1/5),AAn in Z` `npi+-alpha/2,alpha=cos^(-1)(3/5),AAn in Z` `npi+-alpha/2,alpha=cos^(-1)(1/3),AAn in Z` none of these

One of the general solutions of 4sinthetasin2thetasin4theta=sin3theta is (3n+-1)pi/(12),AAn in Z (4n+-1)pi/9,AAn in Z (3n+-1)pi/(12),AAn in Z (3n+-1)pi/3,AAn in Z

Find the value of sin^6 alpha+ cos^6 alpha+ 2sin^2 alpha cos^2 alpha .

The general solution of the equation 8cosxcos2xcos4x=(sin6x)/(sin x) is x=((npi)/7)+(pi/(21)),AAn in Z x=((2pi)/7)+(pi/(14)),AAn in Z x=((npi)/7)+(pi/(14)),AAn in Z x=(npi)+(pi/(14)),AAn in Z

A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (b) 2npi+pi/4 npi+pi/4 (d) npi

Calculate the value of (sin^(6)alpha +cos^(6) alpha + 3sin^(2) alpha cos^(2) alpha).

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

If cos^2alpha=sin^3alpha then show that tan^6alpha-tan^2alpha=1

Consider the system of linear equations in x , ya n dz : ""(sin3theta)x-y+z=0 , (cos2theta)x+4y+3z=0 , 2x+7y+7z=0 Which of the following can be the value of theta for which the system has a non-trivial solution (A) npi+(-1)^npi/6,AAn in Z (B) npi+(-1)^npi/3,AAn in Z (C) npi+(-1)^npi/9,AAn in Z (D)none of these

If 4sin^4x+cos^4x=1 ,then x is equal to (n in Z) (a) npi (b) npi+-sin^(-1)sqrt(2/5) (c) (2npi)/3 (d) 2npi+-pi/4

If cosx + sinx = cos alpha- sinalpha , prove that, x-pi/4 = 2npi +-(alpha + pi/4)