Question

draw the terminal side of 135° in standard position. hint: plot the starting point at the origin, and then plot a point on the terminal side of the angle. find a positive angle that is coterminal. find a negative angle that is coterminal. question help: video ebook message instructor

Explanation:

Step 1: Recall the formula for coterminal angles

Coterminal angles can be found using the formula \(\theta\pm360^{\circ}n\), where \(n\) is an integer.

Step 2: Find a positive coterminal angle

Let \(n = 1\). Then \(\theta+360^{\circ}n=135^{\circ}+360^{\circ}\times1 = 495^{\circ}\)

Step 3: Find a negative coterminal angle

Let \(n = 1\). Then \(\theta - 360^{\circ}n=135^{\circ}-360^{\circ}\times1=-225^{\circ}\)

Answer:

Positive coterminal angle: \(495^{\circ}\)
Negative coterminal angle: \(-225^{\circ}\)