SOLUTION: sin x - cos x =0

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Question 639811: sin x - cos x =0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

sin+x+-+cos+x+=0
As we can see, the equation is linear, in sin+x and cos+x. The way of solving this kind of equation is to divide entire equation with "cos+x".

sin+x%2Fcos+x+-+cos+x%2Fcos+x+=0%2Fcos+x

%28sin+x%2F+cos+x%29+-+1+=+0

Instead of the ratio sin+x%2F+cos+x, we'll use the resulting function, tg+x.
The obtained equation is an elementary equation.
tg+x+-+1+=+0
tg+x=1
x=+arctg1+%2Bk%2Api
x=+pi%2F4+%2B+k%2Api