Find the principal and general solutions of the following equati
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    Trigonometric Functions

    Multiple Choice QuestionsShort Answer Type

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

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    <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> 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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    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:

    <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>
    111 Views
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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.
    136 Views
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    137. Find the general solution of the following equation:

    sin x + sin 3x + sin 5x = 0
    145 Views
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    138. Find the general solution of the following equation:

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

    138 Views
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