Some Applications of Trigonometry

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Evaluate without using trigonometric tables - Wired Faculty

Question

Evaluate without using trigonometric tables
$space tan space 7 degree. space tan space 23 degree. space tan space 60 degree. space tan space 67 degree. space tan space 83 degree space plus space fraction numerator cot space 54 degree over denominator tan space 36 degree end fraction plus sin space 20 degree. space sec space 70 degree space minus space 2.$

Solution

<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #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>

equals space tan space 7 degree space. space tan space 83 degree space. space tan space 23 degree. space tan space 67 degree. space tan space 60 degree plus fraction numerator cot space 54 degree over denominator tan space 36 degree end fraction plus sin space 20 degree. space sec space 70 degree space minus 2 equals space tan space left parenthesis 90 degree space minus 83 degree right parenthesis. space tan space 83 degree. space space tan space left parenthesis 90 degree minus 67 degree right parenthesis. space tan space 67 degree. space tan space 60 degree space plus space fraction numerator cot left parenthesis 90 degree minus 36 degree right parenthesis over denominator tan space 36 degree end fraction plus space sin space 20 degree. space sec space left parenthesis 90 degree minus 20 degree right parenthesis minus 2

space space space equals space cot space 83 degree. space tan space 83 degree. space cot space 67 degree. space tan space 67 degree. space tan space 60 degree space plus space fraction numerator tan space 36 degree over denominator tan space 36 degree end fraction plus sin space 20 degree. space cosec space 20 degree space minus 2 space space space equals space 1 cross times 1 cross times square root of 3 plus 1 plus 1 minus 2 space equals space square root of 3 space Ans. space

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