Answer:
305°
Step-by-step explanation:
The given trigonometric equation is
[tex] \cos( \theta) = \frac{4}{7} [/tex]
We want to solve for angle θ.
We take cosine inverse to get:
[tex] \theta = \cos ^{ - 1} ( \frac{4}{7} )[/tex]
[tex] \theta = 55.15 \degree[/tex]
Since the cosine ratio is positive and sine ratio is negative, the angle θ is in the 4th quadrant.
Therefore angle θ=360-55.15°=304.85
