Find the general solution of the following equation:. from Math

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 Multiple Choice QuestionsShort Answer Type

131. Find the principal and general solutions of the following equations:

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#6 {main}</pre>
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132. Find the principal and general solutions of the following equation:

sec space straight x space equals space 2


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133. Find the principal and general solutions of the following equation:

cot space straight x space equals space minus square root of 3




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134. Find the principal and general solutions of the following equation:

cosec space straight x space equals space minus 2






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135. Find the general solution of the following equation:

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#6 {main}</pre>








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136. Find the general solution of the following equation:

sin space 2 straight x space equals space cos space straight x space.











                sin space 2 straight x space equals space cos space straight x

         space space space space sin space 2 straight x space plus space cos space straight x space equals space 0

rightwards double arrow   2 space sin space straight x space cos space straight x space plus space cos space straight x space equals space 0

rightwards double arrow         cos space straight x space left parenthesis 2 space sin space straight x space plus space 1 right parenthesis space equals space 0

rightwards double arrow      either                      cos space straight x space equals space 0  or sin space straight x space equals space minus 1 half

rightwards double arrow      either                  straight x space equals space left parenthesis 2 straight n plus 1 right parenthesis space straight pi over 2 comma space straight n space element of space straight Z    or  <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      either                <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>    or  space space space straight x space equals space nπ space plus space left parenthesis negative 1 right parenthesis to the power of straight n space open parentheses negative straight pi over 6 close parentheses comma space space straight n space element of space straight Z

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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>               or    space space space straight x space equals space nπ space plus space left parenthesis negative 1 right parenthesis to the power of straight n space open parentheses negative straight pi over 6 close parentheses comma space space straight n space element of space straight Z

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137. Find the general solution of the following equation:

sin x + sin 3x + sin 5x = 0










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138. Find the general solution of the following equation:

cos 3x + cos x - cos 2x = 0










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139.

Find the general solution of:

2 space cos squared straight x space minus space 5 space cosx space plus space 2 space equals space 0

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140.

Find the general solution of:

space space space 4 space sin squared straight theta space minus space 8 space cosθ space plus space 1 space equals 0

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