Help with Trigonometry: Solving sinx + sin(x/2) = 0

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SUMMARY

The equation sin(x) + sin(x/2) = 0 can be solved by rewriting it as sin(x) = -sin(x/2). This leads to the equivalent expression sin(x) = sin(-x/2). The solutions for x within the interval of 0 to 360 degrees can be derived using the properties of the sine function and its periodicity. The discussion provides a clear method for approaching trigonometric equations involving sine functions.

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CathyLou
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Hi.

Could someone please help me with the following question? I would really appreciate any help as I am completely stuck at the moment.

Solve sinx + sin(x/2) = 0 when x is between (and including) 0 and 360 degrees.

Thank you.

Cathy
 
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Hey Cathy,

Try writing;

[tex]\sin(x) = -\sin(x/2)[/tex]

[tex]\sin(x) = \sin(-x/2)[/tex]
 

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