You will need SOME basic math everywhere. If you mean more advanced math, there are several careers that need that; to a great extent, those are the careers that have "engineering" as part of their name. Some others, too, like Economy and Architecture. Most of those careers also have several science subjects.
I recommend to review the subjects taken, in any career you are interested in. There you can see if there is a lot of math and science, or not.
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You can use maths in Flowcharts, Databases and Graphs.
I use maths in the kitchen to calculate cooking times and the weights and measures of ingredients.
To find out what the missing link is.
The uses of Sin, Cos etc. in Maths is in relation to Trigonometry. Trigonometry is the study of the relationship between angles and lengths of triangles.
Any kind of measuring uses maths.