Answer:
tan(t) ≈ 0.6248
Explanation:
The definition of tan(t) is ratio of sin(t) to cos(t):
[tex]\displaystyle{\tan t = \dfrac{\sin t}{\cos t}}[/tex]
The value of sin(t) and cos(t) are already given, we just substitute sin(t) = 0.5299 and cos(t) = 0.8481 in the equation:
[tex]\displaystyle{\tan t = \dfrac{0.5299}{0.8481}}[/tex]
Evaluate and we’ll get:
[tex]\displaystyle{\tan t \approx 0.6248}[/tex]
Therefore, tan(t) is 0.6248 (rounded to 4 digits)