Question

The line with equation 4b + a = 0 coincides with the terminal side of an angle x in standard position in Quadrant IV.

What is sin x?

\[ -\frac{1}{4} \]
\[ \frac{\sqrt{17}}{17} \]
\[ \sqrt{17} \]
\[\frac{\sqrt[4]{17}}{17} \]

Answer 1

Hello there.

The line with equation 4b + a = 0 coincides with the terminal side of an angle x in standard position in Quadrant IV.

What is sin x?
\[ \sqrt{17} \]

Answer 2

The equation of the line is
4b + a = 0

The slope of the line is
m = -1/4

With a rise of 1 and run of -4 which corresponds to a hypotenuse of
√(4² + (-1)²) = √17

Therefore, the sine of the angle is
sin θ = 1/√17