Find the general solution of: from Mathematics Trigonometric Fu
    • Zigya Logo

    Previous Year Papers

    Download Solved Question Papers Free for Offline Practice and view Solutions Online.

    Test Series

    Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

    Test Yourself

    Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
    Advertisement

    Trigonometric Functions

    Multiple Choice QuestionsShort Answer Type

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

    <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>
    127 Views
    Answer
    132. Find the principal and general solutions of the following equation:

    sec space straight x space equals space 2
    120 Views
    Answer
    133. Find the principal and general solutions of the following equation:

    cot space straight x space equals space minus square root of 3
    138 Views
    Answer
    134. Find the principal and general solutions of the following equation:

    cosec space straight x space equals space minus 2
    115 Views
    Answer
    Advertisement
    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
    Answer
    136. Find the general solution of the following equation:

    sin space 2 straight x space equals space cos space straight x space.
    136 Views
    Answer
    137. Find the general solution of the following equation:

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

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

    121 Views
    Answer
    Advertisement
    Zigya App

    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

    space space space space space space space 4 space sin squared straight theta space minus space 8 space cosθ space plus space 1 space equals space 0                        rightwards double arrow  4 space left parenthesis 1 minus cos squared straight theta right parenthesis space minus space 8 space cosθ space plus space 1 space equals space 0

    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) #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>                       rightwards double arrow   4 space cos squared straight theta space plus space 10 space cosθ space minus space 2 space cosθ space minus space 5 space equals space 0

    rightwards double arrow   2 space cosθ space left parenthesis 2 space cosθ space plus space 5 right parenthesis space minus space 1 left parenthesis 2 space cosθ space plus space 5 right parenthesis space equals space 0 space space space rightwards double arrow space space space space space left parenthesis 2 space cosθ space minus space 1 right parenthesis space left parenthesis 2 space cosθ space plus space 5 right parenthesis space equals space 0

    rightwards double arrow      either   2 space cosθ space minus space 1 space equals space 0                          or    cos space straight theta space equals space minus 5 over 2

    rightwards double arrow                  cos space straight theta space equals space 1 half                                                               [∵ negative 1 less or equal than cosθ less or equal than 1]

    rightwards double arrow                    cos space straight theta space equals space cos space straight pi over 3                      rightwards double arrow          straight theta space equals space 2 nπ space plus-or-minus space straight pi over 3 comma space space straight n space element of space straight Z              
    138 Views
  • Switch Icon Switch
    • Advertisement
    Advertisement
    Flag Popup Icon
    Flag it
    Submit
    Flag Popup Icon
    Switch to
    flexipad
    Share It Icon
    Share it
    Share It
    Share it