Find the tangent normal and binormal vectors at the point


Given the vector valued function R(t) = with t being bounded from -π/2 to positive without being equal to π/2 or -π/2, find the Tangent, Normal and Binormal vectors at the point (1,0,0) . I have found the value of r prime t to be -sin t, cost (t), -tan (t) and the magnitude of r prime t to be sec(t). I am having trouble simplifying this to get the tangent vector.

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Mathematics: Find the tangent normal and binormal vectors at the point
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