Question

topic: identifying the six trigonometric functions
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including
what are the values of sin x and tan y in the triangle below?
triangle with hypotenuse √34, leg zy=3, leg xz=5, right angle at z
options:

• sin x = 5/√34, tan y = 5/3
• sin x = 3/√34, tan y = 5/3
• sin x = 3/√34, tan y = 3/5
• sin x = 5/√34, tan y = 3/5

Explanation:

Step1: Define sin X

sin X = opposite/hypotenuse = YZ/XY = $3/\sqrt{34}$

Step2: Define tan Y

tan Y = opposite/adjacent = XZ/YZ = $5/3$

Answer:

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