If `B=2sin^2x-cos^2x` then which of the following is true?

Let B=2sin^2x-cos2x , then

If cos x=t a n x , then which of the following is true? (a) 1/(sinx)+cos^4x=1 (b) 1/(sinx)+cos^4x=2 (c) cos^(54)x+cos^2x=1 (d) cos^4x+cos^2x=2

If x cos theta + y sin theta =2 and x cos theta - y sin theta =0 , then which one of the following is true ?

If sin x+sin y=a o* cos x+cos y=b then which of the following may be true

If sin x+sin y=a and cos x+cos y=b then which of the following may be true

f_(1)(x)=sin^(-1)(cos(sin^(2)x)),f_(2)(x)=cos^(-1)(sin(cos^(2)x)),f_(3)(x)=sin^(-1)(cos^(2)x)),f_(4)(x)=cos^(-1)(sin^(2)x)* Then which of the following is/are correct?

If alpha and beta respectively the minmum and minimum values of the fuction f(x) given by f(x)=|{:(1+sin^2" " x cos^2x " " sin2x),(sin^2x " "1+cos^2 x " "sin 2x),(sin^2x " "cos^2x" "1+sin 2x):}| then which one of the following options is not true ?

Consider equation (x - sin alpha) (x-cos alpha) - 2 = 0 . Which of the following is /are true?

Consider equation (x - sin alpha) (x-cos alpha) - 2 = 0 . Which of the following is /are true?