Evaluate: from Mathematics Introduction to Trigonometry
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    Introduction to Trigonometry

    Multiple Choice QuestionsShort Answer Type

    81. If sin θ = cos θ, find the value of θ.
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    82. If tan θ = cot (30° + θ), find the value of θ.
    102 Views
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    83. If sin 3θ = cos (θ - 6°) and θ-6° are acute angles, find the value of θ.
    123 Views
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    Multiple Choice QuestionsLong Answer Type

    84. Given that  <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> what is the value of <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>
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    85.

    If tanθ space equals space 4 over 3 comma what is the value of fraction numerator sinθ plus cosθ over denominator sinθ minus cosθ end fraction ?

    142 Views
    Answer

    Multiple Choice QuestionsShort Answer Type

    86.

    If space tanA space equals space 5 over 12 comma find the value of (sinA + cosA) secA.

    89 Views
    Answer
    87.

    If cosA space equals space 7 over 25 comma find the value of (tanA + cotA).

    135 Views
    Answer
    88.

    If cotθ space equals space 15 over 8 comma then evaluate "<pre

    95 Views
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    89.

    If secA space equals space 15 over 7 space and space straight A plus straight B space equals space 90 degree comma space find the value of cosec B.

    111 Views
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    90.

    Evaluate:
    fraction numerator sec left parenthesis 90 degree minus straight theta right parenthesis times cosecθ space minus space tan left parenthesis 90 degree minus straight theta right parenthesis space cotθ plus left parenthesis cos squared 35 degree plus cos squared 55 degree right parenthesis over denominator tan 5 degree space tan space 15 degree space tan space 45 degree space tan space 75 degree space tan space 85 degree end fraction.

    fraction numerator cosecθ. space cosecθ space minus space cotθ. cotθ plus open square brackets cos squared left parenthesis 90 degree minus 55 degree right parenthesis plus cos squared 55 degree close square brackets over denominator tan 5 degree. space tan 85 degree space tan 15 degree space tan space 75 degree space tan space 45 degree end fraction

     = fraction numerator cosec squared straight theta minus cot squared straight theta plus open square brackets sin squared 55 degree plus cos squared 55 degree close square brackets over denominator tan space left parenthesis 90 degree minus 85 degree right parenthesis. space tan space 85 degree space tan left parenthesis 90 degree minus space 75 degree right parenthesis space tan space 75 degree end fraction

    = fraction numerator 1 plus 1 over denominator cot space 85 degree. space tan 85 degree space tan left parenthesis 90 degree minus 75 degree right parenthesis space tan space 75 degree end fraction

    = fraction numerator 2 over denominator 1.1 end fraction space equals space 2 over 1 space equals space 2.
    90 Views
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