max value of sinx. cosx
Answers
Answered by
0
max
:
x
=
π
4
+
2
π
n
.
y
=
sin
(
π
4
)
+
cos
(
π
4
)
=
2
√
2
=
√
2
Explanation:
The first derivative is given by
f
'
(
x
)
=
cos
x
−
sin
x
Which will have critical numbers at
0
=
cos
x
−
sin
x
sin
x
=
cos
x
So when
x
=
π
4
and
x
=
5
π
4
. At
x
=
0
. the derivative has value
f
'
(
0
)
=
cos
(
0
)
−
sin
(
0
)
=
1
, therefore the function is increasing at
x
=
0
and
x
=
π
4
is a maximum.
These maximums will happen at an interval of
2
π
, therefore the answer is
max
=
π
4
+
2
π
n
.
Hopefully this helps!
hebafatima:
no but the answer is 1/2
ok
its not properly written
the question is what is the max value of sinx×cosx.
so k
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