The equation of the tangent at the point (a s | vedclass

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(B) The equation of the tangent to the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ at the point $(x_1, y_1)$ is given by $\frac{x x_1}{a^2} - \f

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$\frac{x}{a} \sec 	heta - \frac{y}{b} 	an 	heta = 1$

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(B) The equation of the tangent to the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ at the point $(x_1, y_1)$ is given by $\frac{x x_1}{a^2} - \frac{y y_1}{b^2} = 1$.Substituting $(x_1, y_1) = (a \sec 	heta, b 	an 	heta)$ into the formula:$\frac{x(a \sec 	heta)}{a^2} - \frac{y(b 	an 	heta)}{b^2} = 1$Simplifying the expression:$\frac{x}{a} \sec 	heta - \frac{y}{b} 	an 	heta = 1$.

The equation of the tangent at the point $(a \sec \theta, b \tan \theta)$ of the conic $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ is:

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