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Lösung 4.4:8b

Aus Online Mathematik Brückenkurs 1

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Suppose that cosx=0, so that we can divide both sides by cosx to obtain

sinxcosx=3i.e.tanx=3. 

This equation has the solutions x=3+n for all integers n.

If, on the other hand, cosx=0, then sinx=1 (draw a unit circle) and the equation cannot have such a solution.

Thus, the equation has the solutions

x=3+n(n is an arbitrary integer).
Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_4.4:8b“