1)Rewrite 5pi/4 radians in degree measure.
Answer: 225
2) Which angle is coterminal with a
-400 degree angle in standard position?
Answer: 40
Thanks for checking my answers:)
Yes
yes
1) To convert radians to degrees, you need to use the conversion factor that 180 degrees is equal to π radians.
Given that you have 5π/4 radians, we can rewrite it as:
5π/4 * (180 degrees/π radians)
π radians cancel out, leaving us with:
5 * 180/4 degrees
Simplifying further:
5 * 45 degrees
Which gives us:
225 degrees
So, your answer is correct!
2) Coterminal angles are angles that have the same initial and terminal sides but differ in the number of complete revolutions.
To find the coterminal angle, we can add or subtract any multiple of 360 degrees (or 2π radians) to the given angle.
For a -400 degree angle, we can add 360 degrees multiple times until we get a positive angle.
-400 + 360 = -40 degrees (first addition of 360)
Since this is still a negative angle, we can add 360 degrees again:
-40 + 360 = 320 degrees (second addition of 360)
Now we have a positive angle that is coterminal with -400 degrees.
Therefore, the angle coterminal with a -400 degree angle is 320 degrees.
Your answer is correct!