Question: A teacher asks two students to solve the equation 2 tan 2x = 5 for 0 < x < 2. The attempt is shown below.

A teacher asks two students to solve the equation 2 tan 2x = 5 for 0 < x < 2π. The attempt is shown below.

a. Identify the mistake made by the student. 

b. Calculate the correct solutions to the equation.

2 tan 2x = 5 tan 2x = 2.5 2x = 1.19, 4.33 x = 0.595 rad or 2.17 rad (3 5.f.)

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