Answer:
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Step-by-step explanation:
sin(x)=sqrt(3)/2
This happens twice in the first rotation on our unit circle.
It happens in the first quadrant and in the second quadrant. Third and fourth quadrants are negative for sine.
So we are looking for when the y-coordinate on the unit circle is sqrt(3)/2.
This is at pi/3 and 2pi/3.
So we can get all the solutions by adding +2pi*k to both of those. This gives us a full rotation about the circle any number of k times. k is an integer.
So the solutions are
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
It seems like there's a typo? The x and y rows are identical
Assuming there is no typo, then the input and the output are the same. Meaning that whatever you plug in, is what comes out. If the output is 40, then the input must be 40.
So the answer is 40 (assuming there are no typos made by your textbook or teacher)
Answer:
x=8.2
Step-by-step explanation:
First, figure out which trig function you are going to use.
In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.
sin (55) =opposite/hypotenuse
sin (55) =x/10
multiply both sides by 10 to get 10 * sin (55) = x
10 * sin (55) = 8.2
Answer:
35 sweets altogether
Step-by-step explanation:
20÷4=5
5*2=10
Answer:
<em><u>x=−2</u></em> if i could get brainliest that would be great
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(−x+2x+1)=x−1
(3)(−x)+(3)(2x)+(3)(1)=x+−1(Distribute)
−3x+6x+3=x+−1
(−3x+6x)+(3)=x−1(Combine Like Terms)
3x+3=x−1
3x+3=x−1
Step 2: Subtract x from both sides.
3x+3−x=x−1−x
2x+3=−1
Step 3: Subtract 3 from both sides.
2x+3−3=−1−3
2x=−4
Step 4: Divide both sides by 2.
2x/2=−4/2
x=−2
