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The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].
The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.
We have the expression:
[tex]\rm \frac{cos \theta}{sin \theta}[/tex]
we know that
[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]
also,
[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]
So, By using these trigonometry formulas, we get:
[tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]
Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex] is cot [tex]\theta[/tex].
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