Question

Given the ordered pair P(1, -3), determine the requested secant, cosecant, or cotangent of angle ?. Cot ? = _____

Answer 1

$\bf P(\stackrel{x}{1},\stackrel{y}{-3})\qquad \qquad cot(\theta )=\cfrac{\stackrel{\stackrel{adjacent}{x}}{1}}{\stackrel{\stackrel{opposite}{y}}{-3}}$

Answer 2

The value of Cotangent or cot is: $cot \;\theta= \frac{1}{-3}$

What are Trigonometric ratios?

Trigonometric ratios are the ratios of the length of sides of a triangle.

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.

Given ordered pair P(1, -3).

As we know that Cotangent is ratio of base : perpendicular i.e.,

adjacent of x: opposite y

So, $cot \;\theta= \frac{1}{-3}$

Now, Hypotenuse = $\sqrt{base^{2}+perpendicular^{2} }$

                              = $\sqrt{1^{2} + (-3)^{2}} =\sqrt{10}$

and,

$sec\;\theta= \frac{\sqrt{10} }{1} \\cosec\;\theta =\frac{\sqrt{10} }{(-3)}$

Learn more about Trigonometric ratios here:

https://brainly.com/question/13724581

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