Given angle x, where 0 <= x < 360 (degrees), cos(x) is equal to a unique value.
Determine the value of to the nearest degree. Justify your answer.
3 answers
either 1 or -1 is attained only once on the given domain.
Steve - Could you elaborate on your answer please? I don't understand where you got those two numbers from
cos(x) assumes all values between -1 and 1. Each of those values appears twice in a period of the curve. Since you want a unique value,
x = 0 so cos(x) = 1
or
x = 180, so cos(x) = -1
for any other value where cos(x) = k,
cos(360-x) is also equal to k.
Look at the graph and you will see what I mean.
x = 0 so cos(x) = 1
or
x = 180, so cos(x) = -1
for any other value where cos(x) = k,
cos(360-x) is also equal to k.
Look at the graph and you will see what I mean.
1 answer