what about when cos3e=1?
There are no solutions in the interval 0° < e < 360°
cos(0) = cos(360) = 1, but 0 and 360 are not in interval.
If you were to change the interval to 0° ≤ e ≤ 360°, then solutions would be:
e = 0°, 360°
Mαthmφm
cos e = 1
e = cos^-1 1
= 0* or 360*
but for 0°<e<360° , the answer is { } , the empty set = no solutions exist
for me, converting to radians is easier, meaning between 0 and 2pi. then i draw the cos graph and find that cos = 1 at 0 and 2pi, or 0 and 360 degrees.
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Verified answer
There are no solutions in the interval 0° < e < 360°
cos(0) = cos(360) = 1, but 0 and 360 are not in interval.
If you were to change the interval to 0° ≤ e ≤ 360°, then solutions would be:
e = 0°, 360°
Mαthmφm
cos e = 1
e = cos^-1 1
= 0* or 360*
but for 0°<e<360° , the answer is { } , the empty set = no solutions exist
for me, converting to radians is easier, meaning between 0 and 2pi. then i draw the cos graph and find that cos = 1 at 0 and 2pi, or 0 and 360 degrees.