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View Full Version : How to solve this trig equation : tan t + cot t = 0


buthaina
Jul 11, 2010, 02:33 AM
Just a quick question.

galactus
Jul 11, 2010, 04:28 AM
There are no solutions which resolve to 0.

Rewrite:

\frac{sin(x)}{cos(x)}+\frac{cos(x)}{sin(x)}=0

\frac{sin^{2}(x)+cos^{2}(x)}{sin(x)cos(x)}=0

Note the numerator is the famous identity which equals 1. So, we have:

\frac{1}{sin(x)cos(x)}=0

As you can see, there is no way this can equal 0.

Please post any subsequent problems in the body of the post and not in the heading.