Question

sin2 330+cos2 30 =?..find the solution​

Answer 1

Answer:

-1.66090510883

Step-by-step explanation:

-1.66090510883

Answer 2

We start by defining sine and cosine.
sin
θ
=
opposite
hypotenuse
and
cos
θ
=
adjacent
hypotenuse
. We use the special triangle above to apply the ratio to the given angles.
30
˚
is opposite the side measuring
1
and adjacent the side measuring
√
3
. The triangle has a hypotenuse of
2
.
So,
sin
30
˚
=
1
2
and
cos
30
˚
=
√
3
2
.
We can now calculate the value of
(
sin
30
)
2
+
(
cos
30
)
2
.
(
sin
30
˚
)
2
+
(
cos
30
˚
)
2
=
(
1
2
)
2
+
(
√
3
2
)
2
=
1
4
+
3
4
=
4
4
=
1
Note that we could also have used the pythagorean identity
sin
2
θ
+
cos
2
θ
=
1
to solve this problem.
Hopefully this helps!