Principle Of Mathematical Induction

Question
CBSEENMA11013431

Find the value of:

cos straight pi over 8




Solution

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#6 {main}</pre>
                  straight x equals straight pi over 8                              rightwards double arrow      space space space 2 straight x space equals space straight pi over 4


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#6 {main}</pre>            rightwards double arrow       space space 2 cos squared straight x space minus space 1 space equals space fraction numerator 1 over denominator square root of 2 end fraction

rightwards double arrow     <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)
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#6 {main}</pre>     rightwards double arrow      cos squared straight x space equals space fraction numerator square root of 2 plus 1 over denominator 2 square root of 2 end fraction space equals space fraction numerator 2 plus square root of 2 over denominator 4 end fraction

rightwards double arrow           cosx space equals space plus-or-minus fraction numerator square root of 2 plus square root of 2 end root over denominator 2 end fraction
 
But  straight x space equals space straight pi over 8 is acute.
∴    cos x is positive.
Hence,       <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)
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#6 {main}</pre>

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