How does #sinx=0# equals π?

1 Answer
Feb 3, 2015

The sine function equals #0# for every multiple of #pi~~3.14#

graph{sinx [0, 7, -1.2, 1.2]}

#pi # radians is equal to #180^0#

The sine-function goes from #0# to #1# at #90^0=pi//2#
And then back to #0# at #180^0=pi#
Down to #-1# at #270^0=3pi//2#
And up to #0# again at #360^0=2pi#

So it will be #0# at every multiple of #pi#

Summary
#sin x=0 ->x=k*pi#, with #k# any whole number