Answer:
Positive co-terminal = 763°
Negative co-terminal = -317°
arccos(-0.32)=108.66°
Step-by-step explanation:
We are given an angle 403°
We need to find Positive co-terminal of angle 403° that is between 500° and 1000°
For positive co-terminal angle add 360°
Positive co-terminal of 403° ⇒ 403+360 ⇒ 763°
500° ≤ 763° ≤ 1000°
Therefore, 763° is positive co-terminal angle of 403° between 500° and 1000°
For negative co-terminal angle subtract 360°
Negative co-terminal of 403° ⇒ 403-360 ⇒ 43°
But 43° is not lie between -500° and 0°
So, we subtract 360° again
Negative co-terminal of 403° ⇒ 43°-360° ⇒ -317°
-500° ≤ -317° ≤ 0°
Therefore, -317° is negative co-terminal of 403° between -500° and 0°
# We need to find the value of arccos(−0.32) as a decimal to the nearest hundredth of degree.
Using calculator to find the inverse of cos at -0.32
Therefore, arccos(−0.32)=108.66°
