Solve sin (a /7) =0 trig function, Mathematics

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Solve sin (α /7) =0 .

Solution

By Using a unit circle it isn't too difficult to see that the solutions to this equation are,

α /7 = 0 + 2 ? n     ⇒   α = 14 ? n                   

α = 7 ? +14 ? n        n= 0, ±1, ±2,............

α /7 = ? + 2 ? n

This next example has significant point that needs to be understood when solving some trig equations.

 


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