Questions: Find a positive angle less than 360° or 2π that is coterminal with the given angle. -84° 84° 96° 276° 456°

Transcript text: Question 14 3.7 Find a positive angle less than $360^{\circ}$ or $2 \pi$ that is coterminal with the given angle. \[ -84^{\circ} \] $84^{\circ}$ $96^{\circ}$ $276^{\circ}$ $456^{\circ}$

Solution

Solution Steps

To find a positive angle less than $360^\circ$ that is coterminal with a given angle, we can add or subtract $360^\circ$ until the result is within the desired range. For a negative angle, we add $360^\circ$ until the angle is positive and less than $360^\circ$.

Step 1: Identify the Given Angle

The given angle is $-84^\circ$.

Step 2: Add $360^\circ$ to the Given Angle

To find a positive coterminal angle, we add $360^\circ$ to the given angle: \[ -84^\circ + 360^\circ = 276^\circ \]