cos Θ = negative 4 over 7
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Use the cosine inverse function to find this...
cos-1 (-4/7) = 124.849904579046°
Note this is an 55.150095420954° angle in the 2nd quadrant
It could lie in the third quad, as well - since the cosine is also negative there....so you would have an additional possible angle = 235.150095420954°
cos Θ = negative 4 over 7
---------------------------------------------------------------------------------------------------
Use the cosine inverse function to find this...
cos-1 (-4/7) = 124.849904579046°
Note this is an 55.150095420954° angle in the 2nd quadrant
It could lie in the third quad, as well - since the cosine is also negative there....so you would have an additional possible angle = 235.150095420954°