Find the Exact Value arctan(0)
Problem
Solution
Identify the definition of the inverse tangent function, where
y=arctan(x) meanstan(y)=x fory in the interval(−π/2,π/2) Set up the equation to find the angle
y such thattan(y)=0 Recall the trigonometric identity
tan(y)=sin(y)/cos(y) Determine the value of
y in the specified interval wheresin(y)=0 Conclude that since
sin(0)=0 andcos(0)=1 the value ofy is0
Final Answer
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