Determine two coterminal angles (one positive and one negative) for θ = −503°.
a. 217°,− 323°
b. 217°, − 143°
c. 307°, − 413°
d. 127°, − 323°
e. 127°, − 233°
Well, I must say, -503° seems like it's having a bit of a negative day. Let me try to make it laugh by finding some coterminal angles!
To determine coterminal angles, we can either add or subtract a full revolution of 360°. For the positive angle, let's add 360° to -503°:
-503° + 360° = -143°
For the negative angle, let's subtract 360° from -503°:
-503° - 360° = -863°
Now, let's find out if any of the answer choices match up with our clown-approved calculations.
The only option that matches one of our coterminal angles is option (e) 127°, −233°.
Remember, when solving math problems, it's always a good idea to clown around and have a little fun!
To find coterminal angles for θ = -503°, we need to add or subtract multiples of 360° to the given angle.
Adding 360° to -503°:
-503° + 360° = -143°
Subtracting 360° from -503°:
-503° - 360° = -863°
Therefore, the two coterminal angles for θ = -503° are -143° and -863°.
Among the answer choices provided,
b. 217°, −143° matches the coterminal angles for θ = -503°.
To determine two coterminal angles for θ = -503°, we need to add or subtract a full revolution (360°) from the given angle (-503°) until we find two angles that differ by a multiple of 360°.
First, add 360° to -503°:
-503° + 360° = -143°
The resulting angle is -143°, which is one coterminal angle.
Next, subtract 360° from -503°:
-503° - 360° = -863°
The resulting angle is -863°, which is another coterminal angle.
Therefore, the two coterminal angles for θ = -503° are -143° and -863°.
Comparing these angles with the options provided:
a. 217°,− 323°
b. 217°, − 143°
c. 307°, − 413°
d. 127°, − 323°
e. 127°, − 233°
We can see that the correct answer is option b. 217°, − 143°, as these angles match the coterminal angles we calculated.
I did this yesterday
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