solve graphically sinx=cosx x€[0,π]
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Answer:
As
sin
(
x
+
π
2
)
=
cos
x
,
sin
x
function moves with a gap of
π
2
with respect to
cos
x
. Between
x
=
0
and
x
=
π
2
,
cos
x
falls from
1
to
0
and
sin
x
rises from
0
to
1
.
Further
cos
(
−
x
)
=
cos
x
and hence while
cos
x
is symmetric around
y
-axis i.e.
x
=
0
, As
sin
x
appears with a lag of
π
2
, it is symmetric around
x
=
π
2
.
Hence,
cos
x
=
sin
x
appears exactly at the midpoint between
0
and
π
2
i.e. at
π
4
=
0.7854
graph{(y-sinx)(y-cosx)=0 [-1.365, 3.635, -1, 1.5]}
Step-by-step explanation:
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