Test Test 2 Tima Remaining 01 This T This Question 1 Bolve t

Test: Test 2 Tima Remaining 01 This T This Question: 1 Bolve the follawng equation on the interval ID2si tw cones choice

tan(7x) = 3 ; [0 , 2) ; (tan function is positive in I and III quadrants)

==> 7x = /3 , +(/3) , 2 +(/3) , 3 +(/3) , 4 +(/3) , 5 +(/3) , 6 +(/3) , 7 +(/3) , 8 +(/3) , 9 +(/3)

==> 7x = /3 , 4/3 , 7/3 , 10/3 , 13/3 , 16/3 , 19/3 , 22/3 , 25/3 , 28/3

==> x = /21 , 4/21 , 7/21 , 10/21 , 13/21 , 16/21 , 19/21 , 22/21 , 25/21 , 28/21

Hence the solutions for tan(7x) = 3 in the interval [0 , 2) are x = /21 , 4/21 , /3 , 10/21 , 13/21 , 16/21 , 19/21 , 22/21 , 25/21 , 4/3.