MST121 Open Mathematics and Computing

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Introduction

1(e) From the above plot, it is clear that when x increases from 0 to nearly /2 (i.e., 0 to nearly 1.57), s(x) and h(x) become equal. It is clear otherwise also, since h(x) has to balance s(x) fully, because both become horizontal when x = /2.
1(g) s(x) is a one-to-one function, since for every value of x there is a unique value for y. Therefore, an inverse function s-1 can be defined. The domain and image set of s gets interchanged for s-1. i.e., domain of s-1 is and image set is.
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