Question

If cot theta = 3/2, what is the value of csc theta?

Answer 1

The value of csc theta is $\frac{3. 61}{2}$

How to determine the value

It is important to note that the ratio for cot is given as;

Cot theta = adjacent/opposite

cosec theta = hypotenuse/opposite

If cot theta = 3/2, then

Adjacent = 3

Opposite = 2

Using Pythagoras theorem, we have

Hypotenuse square = opposite + adjacent square

$H = \sqrt{2^2 + 3^2}$

$H = \sqrt{4 + 9}$

$H = 3. 61$

Cosec theta = $\frac{3. 61}{2}$

Thus, the value of csc theta is $\frac{3. 61}{2}$

Learn more about trigonometric ratio here:

brainly.com/question/13276558

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