If the line y=mx+sqrt(a^(2)m^(2)-b^(2)) ...

If the line `y=mx+sqrt(a^(2)m^(2)-b^(2))` touches the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` at the point `(asectheta, bsintheta)`, show that `theta=sin^(-1)((b)/(am))`.

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