Solve sin (3t ) = 2 trig function, Mathematics

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Solve sin (3t ) = 2 .

Solution

This example is designed to remind you of certain properties about sine and cosine.  Recall that -1 ≤ sin (θ ) ≤ 1 and -1 ≤ cos(θ ) ≤ 1 .  Thus, as sine will never be greater that 1 it definitely can't be two. Hence THERE ARE NO SOLUTIONS to this equation!

It is significant to remember that not all trig equations will have solutions.

 

 

 


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