Solve the equation on the interval 02 The solution set is

Solve the equation on the interval [0,2?]

The solution set is: { }

(Type an exact answer in terms of ?. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the? expression.)

Solution

tan²(x) = 3

tan(x) = sqrt(3) or tan(x) = - sqrt(3)

=> tan(x) = tan(/3), tan(4/3) tan(x) = tan(2/3), tan(5/3)

=> x = /3, 2/3, 4/3, 5/3