Solve the equation on the interval [0, 2π).

tan2x sin x = tan2x

a. 0, (pi)/2

b. (pi)/2 , 2π

c. (pi)/2 , π

d. 0, π

 tan2x sin x = tan2x
tan2xsin x - tan 2x = 0
tan 2x(sinx - 1) = 0
 tan 2x = 0
 or sin x = 1
so one root is pi and other is 0
so correct option is A 
hope it helps

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)