Question

find all solutions of the equation
tan^5x-9tan x=0
the answer is Akpi where k is any integer the constant A is ?

Answer 1

try \[\tan^5{x}-9\tan{x}=0 \rightarrow \tan{x}\cdot(\tan^4{x}-9)=0\]
eqv: \[\tan{x}=0\]or\[\tan{x}=\pm\sqrt{3}\]

Answer 2

and solve this elementary equations

Answer 3

i did and the answer is 0.3333 but im getting something different

Answer 4

\[\tan{x}=0 \rightarrow x=\pi\cdot n, n \in Z\]

Answer 5

\[\tan{x}=\pm\sqrt{3} \rightarrow x=\pm \frac{ \pi }{ 3 } +\pi\cdot n, n \in Z\]

Answer 6

thank you

Answer 7

ok