(sin alpha)/(1+cos alpha)+(1+cos alpha)/(sin alpha)=2csc alpha

(sin alpha)/(1+cos alpha)+(1+cos alpha)/(sin alpha)=2cosec alpha

|(sin alpha, cos alpha),(cos alpha, -sin alpha)|=

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

(1+sin alpha)/(1+cos alpha)*(1+sec alpha)/(1+cos ec alpha)=tan alpha

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

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

If (cos alpha,sin alpha),B(sin alpha,-cos alpha),C(1,2)A(cos alpha,sin alpha),B(sin alpha,-cos alpha),C(1,2) are the vertices of $ABC, then as alpha varies, find the locus of its centroid.

If A_(alpha), = [{:(cos alpha , sin alpha),(-sin alpha , cos alpha):}] , then

if A,=[[cos alpha,sin alpha-sin alpha,cos alphasin alpha,cos alphacos2 alpha,sin2 alpha-sin2 alpha,cos2 alpha]]