Prove that,`(sin alpha + cos alpha)/(cos alpha-sin alpha)=tan2 alpha + sec 2 alpha`

Prove that, (cos alpha + sin alpha)/(cos alpha -sin alpha)-(cos alpha - sin alpha)/(cos alpha + sin alpha) = 2 tan 2 alpha

(sin alpha+cos ec alpha)^(2)+(cos alpha+sec alpha)^(2)=tan^(2)alpha+cot^(2)alpha+7

Prove that, (1+ cos 2 alpha + sin 2 alpha)/(1-cos 2 alpha +sin 2 alpha)=cot alpha

(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

underset is If tan theta=(sin alpha-cos alpha)/(sin alpha+cos alpha), then sin alpha+cos alpha

sin 2 alpha - cos 2 alpha tan alpha =

Prove that (sin alpha+sin2 alpha+sin3alpha+sin4alpha)/(cos alpha+cos 2 alpha+cos 3 alpha+cos4 alpha)=tan((5 alpha)/2)

IF tan alpha = ( sin alpha - cos alpha )/( sin alpha + cos alpha) , then sin alpha + cos alpha is

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then