Principle of Mathematical Induction

Principle of Mathematical Induction

Question

Find the principal and general solutions of the following equations:

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#6 {main}</pre>

Answer
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#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493)
#2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs()
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#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#6 {main}</pre> is positive.
∴    x lies in quadrant I or III.
∴                        tan space straight x space equals space square root of 3 space equals space tan space 60 degree space or space tan space left parenthesis 180 degree plus 60 degree right parenthesis space equals space tan space 60 degree space or space tan space 240 degree
                                   equals space tan open parentheses straight pi over 3 close parentheses space space or space space space tan open parentheses fraction numerator 4 straight pi over denominator 3 end fraction close parentheses
Hence, the principal solutions are:space space space space straight pi over 3 comma space fraction numerator 4 straight pi over denominator 3 end fraction
Now,                    tan space straight x space equals space tan open parentheses straight pi over 3 close parentheses space space space rightwards double arrow space space space space space straight x space equals nπ plus straight pi over 3 comma space space straight n element of straight Z

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