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first of all my english isn´t so good so i hope you understand me. I have this homework about tangent spaces and to be honest its pretty complicated when the teacher assume you have an entire course of differential geometry on your mind.

Well, as I been learning a tangent space can be written as a directional derivative and my exercise says that I have to proove that a tangent space to S1 (unitary sphere) can be written as linear combination of all tangent spaces (Tn) equal to e to the power of i theta multiply as appear to be a directional derivative in the direccion of theta.

i hope you can understand me, i don´t know how to use MathJax

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