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Which of the following is a simpler way to write startfraction cosine theta over sine theta endfraction? tan theta sec theta csc theta cot theta

Sagot :

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].

What is the trigonometric ratio?

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].

Know more about trigonometry here:

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longtay03

Answer:

D. cot 0

Step-by-step explanation:

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