Answer:
π/3
Step-by-step explanation:
-5π/3 is a co terminal of 2π-5π/3= (6π-5π)/3=π/3
Answer:
C - The relationship represents a function because each input gives one unique output.
Step-by-step explanation:
To see if it is a function we can do the line test where we have a vertical line and "drag" it along the line. As long as it only hits the line once in every situation it is a function! We can see this passes and therefore the answer is c.
(why is it not d? you can have a non-linear line, but still have a function)
Answer:
x=−2
Step-by-step explanation: Step 1: Simplify both sides of the equation.
3(x−5)−3=5(x−2)+2x
(3)(x)+(3)(−5)+−3=(5)(x)+(5)(−2)+2x(Distribute)
3x+−15+−3=5x+−10+2x
(3x)+(−15+−3)=(5x+2x)+(−10)(Combine Like Terms)
3x+−18=7x+−10
3x−18=7x−10
Step 2: Subtract 7x from both sides.
3x−18−7x=7x−10−7x
−4x−18=−10
Step 3: Add 18 to both sides.
−4x−18+18=−10+18
−4x=8
Step 4: Divide both sides by -4.
−4x
−4
=
8
−4
x=−2
Answer:
On a unit circle, the point that corresponds to an angle of 
is at position 
.
The point that corresponds to an angle of 
is at position 
.
Step-by-step explanation:
On a cartesian plane, a unit circle is
- a circle of radius
, - centered at the origin
.
The circle crosses the x- and y-axis at four points:
Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.
When the angle is equal to 
, the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be .
To locate the point with a angle, rotate the segment counter-clockwise by . The segment would land on the positive y-axis. In other words, the -point would be at the intersection of the positive y-axis and the circle. Its coordinates would be .
, and
.
