Question

what are the values of cos y and cot x in the triangle below? cos y = 3 / √34, cot x = 5 / 3; cos y = 5 / √34, cot x = 3 / 5; cos y = 5 / √34, cot x = 5 / 3; cos y = 3 / √34, cot x = 3 / 5

Explanation:

Step1: Recall cosine formula

Cosine of an angle in a right - triangle is adjacent side over hypotenuse. For $\cos Y$, the adjacent side to angle $Y$ is $3$ and the hypotenuse is $\sqrt{34}$. So, $\cos Y=\frac{3}{\sqrt{34}}$.

Step2: Recall cotangent formula

Cotangent of an angle in a right - triangle is adjacent side over opposite side. For $\cot X$, the adjacent side to angle $X$ is $5$ and the opposite side is $3$. So, $\cot X = \frac{5}{3}$.

Answer:

$\cos Y=\frac{3}{\sqrt{34}},\cot X=\frac{5}{3}$