I have a question when solving trigonometric equations.(adsbygoogle = window.adsbygoogle || []).push({});

For example:

Find all the solutions in the interval [0,2pi)

[tex]\sin \theta \tan \theta = \sin \theta \][/tex]

If you choose to divide through by [tex]\sin \theta\][/tex] we get,

[tex]\tan \theta = 1\][/tex] such that [tex]\sin \theta \ne 0\][/tex]

otherwise we are essentially dividing both sides by zero, which we

cannot do.

Do we need to be careful when solving trigonometric equations using

multiplication and division?

We're dividing by a term that can take on the value of zero. Does

this have any special name? How can I learn more about this?

Are there any techniques to use when solving trig equations

so this doesn't happen?

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# Solving Trigonometric Equations

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