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True or False y equals sin theta is not a function because sin 30 degrees equals sin 150 degrees. Justify your answer?
Ninjamunster
False.
A function can map several (or even all) values in the domain to a single value in the range. What it cannot do, is to map a single value in the domain to several values in the range. In other words, a function can be many-to-one (or one-to-one) but not one-to-many.
One consequence of sin30 = sin150 is that arcsine is not a function unless its range is restricted to -90 to +90 degrees - or some equivalent interval.
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