Principle of Mathematical Induction

Principle of Mathematical Induction

Question

Find the value of the following:

space sin open parentheses fraction numerator 5 straight pi over denominator 3 end fraction close parentheses


Answer

  sin open parentheses fraction numerator 5 straight pi over denominator 3 end fraction close parentheses space equals space minus sin open parentheses 5 cross times 180 over 3 close parentheses to the power of ring operator space equals space sin space 300 degree
                 = equals space sin left parenthesis 360 degree minus 60 degree right parenthesis space equals space sin open parentheses 2 straight pi space minus space straight pi over 3 close parentheses
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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()
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...')
#4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array)
#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 in quadrant IV mean sin 300 degree is -ve.
rightwards double arrow                    sin open parentheses fraction numerator 5 straight pi over denominator 3 end fraction close parentheses space equals space minus sin open parentheses straight pi over 3 close parentheses space equals space minus fraction numerator square root of 3 over denominator 2 end fraction

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