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Algebra
Solve for x sin(x)^2+cos(x)^2=2
sin
2
(
x
)
+
cos
2
(
x
)
=
2
sin
2
(
x
)
+
cos
2
(
x
)
=
2
Step 1
Subtract
2
2
from both sides of the
equation
.
sin
2
(
x
)
+
cos
2
(
x
)
−
2
=
0
sin
2
(
x
)
+
cos
2
(
x
)
-
2
=
0
Step 2
Simplify
sin
2
(
x
)
+
cos
2
(
x
)
−
2
sin
2
(
x
)
+
cos
2
(
x
)
-
2
.
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Step 2.1
Apply pythagorean
identity
.
1
−
2
=
0
1
-
2
=
0
Step 2.2
Subtract
2
2
from
1
1
.
−
1
=
0
-
1
=
0
−
1
=
0
-
1
=
0
Step 3
Since
−
1
≠
0
-
1
≠
0
, there are no
solutions
.
No
solution
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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