Answer:
sin
(
x/
2
) = -
√
3
/2
Take the inverse sine of both sides of the equation to extract x
from inside the sine.
x/
2
=
arcsin
(
−
√
3/
2
)
The exact value of arcsin
(
−
√
3
/2
) is −
π
/3
.
/x
2
=
−
π
/3
Multiply both sides of the equation by 2
.
2
⋅
x
/2
=
2
⋅
(
−
π
/3
)
Simplify both sides of the equation.
x
=
−
2
π
/3
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from 2
π
, to find a reference angle. Next, add this reference angle to π to find the solution in the third quadrant.
x
/2
=
2
π
+
π/
3
+
π
Simplify the expression to find the second solution.
x
=
2
π
/3
4
π
Add 4
π to every negative angle to get positive angles.
x
=
10
π
/3
The period of the sin
(
x
/2
) function is 4
π so values will repeat every 4
π radians in both directions.
x
=2
π
/3
+
4
π
n
,
10
π/
3
+
4
π
n
, for any integer n
Exclude the solutions that do not make sin
(
x
/2
)
=
−
√
3/
2 true.
x
=
10
π
/3
+
4
π
n
, for any integer n
Step-by-step explanation:
Can you put an photo up like what is it from on edge?
Answer:
y = 3x + 5
Step-by-step explanation:
Okay, so first we do the equation for rise over run which is y2 - y1/ x2 - x1
so plug the numbers 11 - 17/ 4 - 2 getting the slope -3, now since we found the slope we need to find the intercept form, what you have to do now is plug in a coordinate from the x value and y value one of the pairs essentially so,
y = 3x + b, I chose your first pair
11 = 3 x 2 + b
equals to,
11 = 6 + b
now we want b, by itself.
5 = b
so the total intercept form answer is
y = 3x + 5
I will check over it,
11 = 3 x 2 + 5
11 = 11
I hope this helped!
Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Answer:
A=96% B=86%
Step-by-step explanation:
brainlist will be welcomed :))
