Question

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

Answer 1

tan(t) ≈ 0.6248

Step-by-step explanation:

The definition of tan(t) is ratio of sin(t) to cos(t):

`\displaystyle{\tan t = (\sin t)/(\cos t)}`

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:

`\displaystyle{\tan t = (0.5299)/(0.8481)}`

Evaluate and we’ll get:

`\displaystyle{\tan t \approx 0.6248}`

Therefore, tan(t) is 0.6248 (rounded to 4 digits)