How do you find the domain and range of #g(t) = 3 sin t#?

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Answer 1 · 2018-07-11T11:58:25

Domain: #t\in\mathbb R# & range: #[-3, 3]#

Given function:

#g(t)=3\sin t#

The above trigonometric function #g(t)=3\sin t# is continuous every where so its domain is the entire set of real numbers i.e. #t\in \mathbbR#

We know that

#-1\le\sin t\le1#

#-3\le 3\sin t\le 3#

hence, the range of given function is #[-3, 3]#