Mathematics, 30.08.2019 05:30, deontehiggins42
How do i find the exact value of tan⁻¹(tan ) ? i know the answer is negative, but i don't know why the inverse of tan and tan don't cancel out for the answer to just be 4pi/5 ?
Answers: 1
is a multivalued function and is not invertible over its entire domain. We restrict its domain to the interval 
, which gives one complete branch of values (or one period). 
and thus 
is outside the domain.
first, then compute the inverse tangent of that result. But finding the trigonometric values of multiples of 
is somewhat tricky and perhaps more work than is needed.
whenever its argument falls outside the "standard" branch. 
(because 
-periodic), so 
. And now the function can be inverted, so that
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How do i find the exact value of tan⁻¹(tan ) ? i know the answer is negative, but i don't know why...
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