If 5*sin x = 5*cos x, what is x?

let theta = x

The whole
equation becomes

5 sin x = 5 cos
x

divide both sides by 5

we
get

sin x = cos x

if the
answer is in radians

then since sin x =  cos (pi/2 -
x)

then the equation
becomes

cos (pi/2-x) = cos
x

pi/2 - x = x

x=
pi/4

of course, since cos and sin are like waves, this
equation have multiple answers

sin and cos rotate in a
cycle of  2pi

and sin and cos grphs meet two times per
cycle

the general theta answer = pi/4 +
kpi

k is a whole number
constant

for degree answers, it is 45 +
k180

k is a whole number
constant

hope this helps