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

If cos^2alpha=sin^3alpha then the value of tan^6alpha-tan^2alpha will be

lf cos^2 alpha -sin^2 alpha = tan^2 beta , then show that tan^2 alpha = cos^2 beta-sin^2 beta .

lf cos^2 alpha -sin^2 alpha = tan^2 beta , then show that tan^2 alpha = cos^2 beta-sin^2 beta .

If cos alpha, sin alpha and cot alpha are in G.P. show that tan^(6)alpha- tan^(2)alpha=1

If cos^(2)alpha-sin^(2)alpha=tan^(2)alpha, then show that tan^(2)alpha=cos^(2)beta-sin^(2)beta

If sin alpha+cos alpha=sqrt(2)cos alpha then show that tan2 alpha=1

If tan beta=(n sin alpha cos alpha)/(1-n sin^2alpha) , show that tan(alpha-beta)=(1-n)tan alpha dot

If cos^2theta-sin^2 theta = tan^2 alpha , then show that cos^2 alpha -sin^2 alpha = tan^2 theta .

If 2n alpha= pi/2, then show that tan alpha tan 2 alpha tan 3 alpha.... Tan (2n-2) alpha tan (2n-1) alpha=1

If tan beta=(n sin alpha cos alpha)/(1-n sin^(2)alpha), show that tan(alpha-beta)=(1-n)tan alpha