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Trigonometry

Could someone please explain to me how to get this principal value for the functions?

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Original post by nicolen777
Could someone please explain to me how to get this principal value for the functions?


1. Find the principal value of 3x-15

Sin(3x-15) = 0.5
3x-15=sin-1 0.5
=30degrees


2. Sin(10x+11) =0.8
10x+11=sin-1 0.8
= 53.13..degrees

3. Sin 4x=-1/3
4x=sin-1 -1/3
=-19.47..degrees

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