If sin t = 0.5299 and cos t = 0.8481, then tan t =

Answers

Answer 1

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)


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