How do you solve #4tanx + sin2x = 0#?
2 Answers
Any integer multiple of
Use that
Making these substitutions,
One way this expression can equal zero is if
Are there any other solutions?
The expression will also be zero when
The preceding equation can be rearranged into the form,
Because the square of a real number cannot be negative there are no solutions to this equation.
Therefore, integer multiples of
There is another way that gives same answer.
Call tan x = t . Use trig identity:
The 2 quantities with t^2 are always positive.
f(x) = 0 when t = tan x = 0 -> x = 0 or