Question

Find all values of α on the interval [0,2π) satisfying the equation tanαsinα+√3 sinα =0

Answer 1

First you need to factor the equation.

Answer 2

ok so we will factor out sinα right

Answer 3

Correct and and we would have (sinex) (tanx+\[Correct we would then have (sine x) (tanx +\sqrt{3)}=0\]

Answer 4

yes

Answer 5

Solve for each.

Answer 6

so it will be sinx =0 and ( tans x+sqrt 3) =0and solve them individually

Answer 7

so for sinx the solutions are 0 and pie right