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

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

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If A=[(sin alpha, cos alpha),(-cos alpha, sin alpha)] , then verify that A'A=I

If A=[(sin alpha, cos alpha),(-cos alpha, sin alpha)] , then verify that A'A=I

If A=[(sin alpha, cos alpha),(-cos alpha, sin alpha)] , then verify that A'A=I

If A=[(sin alpha, cos alpha),(-cos alpha, sin alpha)] , then verify that A'A=I

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

if A=[[sin alpha, cos alpha],[-cos alpha, sin alpha]] , then verify A^T A=I

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

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