Answer:
3pi/4 and -pi/4
Step-by-step explanation:
We can simplify -6/6 to -1.
Therefore, this function can be simplified to arctan(-1).
Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.
Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.
If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.
If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.
Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.
Answer:
I think it would be either choice A or B
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
The shape in the middle is a quadrilateral, so the bottom right hand corner should add up to the rest of the angles to give 360 degrees.
40 + 80 + 110 = 230°
360 - 230 = 130°
The line on which x is on is a straight line, and a straight line is 180 degrees.
Therefore x has to be 180 - 130 to make sure it adds up to give 180 degrees.
180 - 130 = 50
∴ x = 50°
Answer:
39 = m
Step-by-step explanation:
24 = m – 15
Add 15 to each side
24+15 = m – 15+15
39 = m
