Question

please can someone solve:
tan(x+pi)+2sin(x+pi)=0

Answer 1

I think you'll need these two formulas.

The sine of the sum of two angles, and the tangent of the sum of two angles.

Answer 2

Please look for ways in which you could simplify the given equation using the sum formulas mentioned above. Please show your work if you want feedback on it.

Answer 3

i will try using the formulas

Answer 4

still din't get it

Answer 5

HI!!

Answer 6

tangent is periodic, with period \(\pi\) i.e \[\tan(x+\pi)=\tan(x)\]
that might help

Answer 7

also it might be useful to know that \[\sin(x+\pi)=-\sin(x)\]

Answer 8

i dont get how tan(x+pi) = tanx . can you explain better

Answer 9

i don't really know any other way to say it
tangent is a periodic function, and the period is \(\pi\)
that basically means that \[\tan(x+\pi)=\tan(x)\] just like sine and cosine have period \(2\pi\) so \[\sin(x+2\pi)=\sin(x)\]

Answer 10

thank you

Answer 11

how you are going to solve \[\tan(x)-2\sin(x)=0\] is anyones guess however

Answer 12

\[\color\magenta\heartsuit\]

Answer 13

maybe you can do it "by inspection"
0 is a pretty obvious solution but there are more