evaluating expressions
tan -1 (- square root of 3/3)
Give answers in both radians and degrees
Have answer but do not understand how to do it. Assigned section without being taught as we have sub all week

Question

evaluating expressions
tan -1 (- square root of 3/3)
Give answers in both radians and degrees
Have answer but do not understand how to do it.  Assigned section without being taught as we have sub all week

amistre64 · Answer

tan-1(-sqrt(3)/3).  The simpler term for (-sqrt(3)/3) is (-1/sqrt(3)) which has to do with the tan(-30); which is tan(-pi/6).

The inverse trig functions take numbers as inputs and spit out angles in a restricted domain.  The domain for tan-1 is (-pi/2,pi/2), so the angle has to be -pi/6.