Given cos X = -0.147, find two possible values for X that are not co-terminal.
X = appr. 98.45° or X = 261.55°
The first of these in in quadrant II, the second is in III, thus they are not coterminal.
Thank you. Can you explain how to do this?
To find two possible values for X that are not co-terminal, we can use the inverse cosine function (also known as arccosine or cos^-1).
Step 1: Take the inverse cosine of -0.147.
cos^(-1)(-0.147) = X
Step 2: Calculate the value of X using a calculator or a trigonometric table:
X ≈ 1.7349 radians or X ≈ 4.4061 radians
Therefore, two possible values for X that are not co-terminal are approximately 1.7349 radians and 4.4061 radians.