sin(alpha) / sin(alpha) : cos(alpha)

sin(alpha) / sin(alpha) : cos(alpha)

$\large {\color{red}\frac{sin \ \alpha}{sin\ \alpha}: cos \ \alpha}=\frac{1}{cos\ \alpha}=sec \ \alpha$

$\large {\color {red}\frac{sin \ \alpha}{(\frac{sin \ \alpha}{cos \ \alpha})}}=\frac{sin \ \alpha}{tan \ \alpha}\color{blue}=cos \ \alpha$

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