Question

what are the values of sin x and tan y in the triangle below? o sin x = 3/√34, tan y = 5/3 o sin x = 3/√34, tan y = 3/5 o sin x = 5/√34, tan y = 3/5 o sin x = 5/√34, tan y = 5/3

Explanation:

Step1: Recall sine - definition

The sine of an angle in a right - triangle is defined as the ratio of the opposite side to the hypotenuse. For angle $X$, the opposite side to angle $X$ is $3$ and the hypotenuse is $\sqrt{34}$. So, $\sin X=\frac{3}{\sqrt{34}}$.

Step2: Recall tangent - definition

The tangent of an angle in a right - triangle is defined as the ratio of the opposite side to the adjacent side. For angle $Y$, the opposite side to angle $Y$ is $5$ and the adjacent side is $3$. So, $\tan Y = \frac{5}{3}$.

Answer:

$\sin X=\frac{3}{\sqrt{34}},\tan Y=\frac{5}{3}$