Mathematics, 30.06.2019 20:00 stodd9503
Asap now will mark brainiest lots of 22. explain why an sin^-1(sin(3pi/4))not equal 3pi/4 when y=sin x and y=sin ^-1 are inverses. 25. given f(x)=sin x and g(x)= cos x, find f(g(pi/2))=0. show all your steps.
Answers: 1
is not invertible because it's not one-to-one because it's periodic. For instance, we can always find more than one value of 
for which 
; this happens when 
.
, for example, then each 
(range). So the domain of the inverse is 
, and the range of the inverse is 
.
is not in this restricted domain. But 
still exists as long as we take the standard domain (the entire real line), and 
. But then 
because this is the only value of 
.
and 
are NOT inverses of one another, but rather one is an imperfect inverse of the other.
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Asap now will mark brainiest lots of 22. explain why an sin^-1(sin(3pi/4))not equal 3pi/4 when y=s...
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