Answer:
w = 61❬cos 280.389°, sin 280.389°❭
Step-by-step explanation:
The "trigonometric form" of a vector is ...
(magnitude)❬cos(angle), sin(angle)❭
This is sometimes abbreviated ...
magnitude cis(angle)
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This form immediately eliminates choices A and D, as those have the trig functions reversed. The signs on the unit vectors i and j tell you the vector has a 4th-quadrant angle, so will be between 270° and 360°. Only answer choice B makes any sense.
w = 61❬cos 280.389°, sin 280.389°❭
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Additional comment
The angle is computed from ...
θ = arctan(y/x) = arctan(-60/11) = -79.611°
Expressed as a positive angle in the range [0, 360°), that will be ...
360° +(-79.611°) = 280.389°
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The abbreviation "cis" is mentioned as an aid to remembering the (x, y) coordinates are the cosine and sine of the angle, in that order.
