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

If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then A(alpha)A(beta)=

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

sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha cos alpha =

If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] then the matrix A^(2)(alpha) is

(tan alpha sec^(2)alpha+cot alpha cos ec^(2)alpha)-(tan alpha+cot alpha)=2cos ec2 alpha[sec^(2)alpha+cos ec^(2)alpha-3]

Prove the following identities: (sin alpha sin 11 alpha + sin 3 alpha sin 7 alpha)/(sin alpha cos 11 alpha + sin 3 alpha cos 7 alpha)= tan 8 alpha

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

prove that (sin alpha+sin3 alpha+sin5 alpha)/(cos alpha+cos3 alpha+cos5 alpha)=tan3 alpha