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How many solutions does the equation tan(x)=x have on the interval ]0,2π[ (note that this is an open interval).∞.2.1.

Question

How many solutions does the equation tan(x)=x have on the interval ]0,2π[ (note that this is an open interval).∞.2.1.
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Solution 1

The equation tan(x) = x does not have a general algebraic solution, so it must be solved graphically or numerically.

Here are the steps to solve it graphically:

  1. Draw the graph of y = tan(x) on the interval ]0, 2π[. The graph will have vertical asymptotes at x = π/2 and x = 3π/2, and it will pa Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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