Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = 8 sin(t) i + 8 cos(t) j + 4 tan(t) k, t = ?/4 T(?/4) =
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Step 1: Find the derivative of r(t) to get r'(t)** Given r(t) = 8sin(t)i + 8cos(t)j + 4tan(t)k, we find r'(t) by taking the derivative of each component: r'(t) = 8cos(t)i - 8sin(t)j + 4sec^2(t)k ** Show more…
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