If `sin (2alpha) /cos(2alpha)` < 0 If `alpha` lies in

If sin^(2)alpha=cos^(2)alpha , then the value of (cot^(6)alpha-cot^(2)alpha) is

If |(sin^(2)alpha,cos^(2)alpha),(cos^(2)alpha,sin^(2)alpha)|=0,alphain(0,pi) , then the values of alpha are

The expression (1 + sin 2 alpha )/( cos (2 alpha - 2pi) tan (alpha - (3pi)/(4 ))) -1/4 sin 2 alpha [ cot "" (alpha )/(2) + (alpha )/(2))] when simplified reduces to

The value of expression (1+ sin 2 alpha)/(cos (2 alpha -2pi) tan (alpha -(3pi)/(4)))- 1/4 sin 2 alpha (cot ""(alpha)/(2) + cot ((3pi)/(2)+(alpha)/(2))) is

If sin^(2)alpha , 3cos^(2)alpha are the roots of the equation 4x^(2)-3px+k=0 ,then which of the following is not true?

If y=2sin^(2)alpha-cos2alpha then y lies in the interval

Prove that sin^(4) alpha + cos^(4) alpha + 2 sin^(2) alpha cos^(2) alpha = 1 .

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