Explanation:
sin
2
(
20
°
)
+
sec
2
(
20
°
)
Simplify each term.
Tap for fewer steps...
Rewrite
sec
(
20
°
)
in terms of sines and cosines.
sin
2
(
20
°
)
+
(
1
cos
(
20
°
)
)
2
Apply the product rule to
1
cos
(
20
°
)
.
sin
2
(
20
°
)
+
1
2
cos
2
(
20
°
)
One to any power is one.
sin
2
(
20
°
)
+
1
cos
2
(
20
°
)
Simplify each term.
Tap for fewer steps...
Rewrite
1
as
1
2
.
sin
2
(
20
°
)
+
1
2
cos
2
(
20
°
)
Rewrite
1
2
cos
2
(
20
°
)
as
(
1
cos
(
20
°
)
)
2
.
sin
2
(
20
°
)
+
(
1
cos
(
20
°
)
)
2
Convert from
1
cos
(
20
°
)
to
sec
(
20
°
)
.
sin
2
(
20
°
)
+
sec
2
(
20
°
)
The result can be shown in multiple forms.
Exact Form:
sin
2
(
20
°
)
+
sec
2
(
20
°
)
Decimal Form:
1.24945210