Simplify using order of operations. 52 + 3x8 P E MD AS
1 answer:
You might be interested in
<u>Answer:</u>
The angles measures x and 4x are complementary angles. The value of x is 36 degrees
<u>Solution:</u>
Given, two angles are x and 4x
We have to find the value of above given x
We are also given that, given two angles are complementary angles for each other
So, we know that, <em>sum of any two complementary angles will always be equal to 180 degrees </em>
Then, in the problem given,
Hence the angles measures x and 4x are complementary angles. The value of x is 36 degrees
Answer:
cos
(
5
π
12
)
=
√
2
−
√
3
2
Explanation:
By the half angle formula:
XXXX
cos
(
θ
2
)
=
±
√
1
+
cos
(
θ
)
2
If
θ
2
=
5
π
12
XXXX
then
θ
=
5
π
6
Note that
5
π
6
is a standard angle in quadrant 2 with a reference angle of
π
6
so
cos
(
5
π
6
)
=
−
cos
(
π
6
)
=
−
√
3
2
Therefore
XXXX
cos
(
5
π
12
)
=
±
⎷
1
−
√
3
2
2
XXXXXXXXXXX
=
±
⎷
2
−
√
3
2
2
XXXXXXXXXXX
=
±
√
2
−
√
3
4
XXXXXXXXXXX
=
±
√
2
−
√
3
2
Since
5
π
12
<
π
2
XXXX
5
π
12
is in quadrant 1
XXXX
→
cos
(
5
π
12
)
is positive
XXXX
XXXX
XXXX
(the negative solution is extraneous)
answer in pic more explain
