Final answer:
To find tan[sin-1(6/7)], we can start by finding the value of sin-1(6/7) = tan-1(6/7) = θ. Once we find the value of θ, we can substitute it into the tangent function to find the value of tan(θ) = tan(sin-1(6/7)).
Step-by-step explanation:
To find tan[sin-1(6/7)], we can start by finding the value of sin-1(6/7). This is the angle whose sine is equal to 6/7. So, we can say that sin-1(6/7) = tan-1(6/7) = θ. We can find the value of θ by using the inverse sine function or by using a calculator.
Once we find the value of θ, we can substitute it into the tangent function to find the value of tan(θ) = tan(sin-1(6/7)).