Evaluate: from Mathematics Introduction to Trigonometry
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    Introduction to Trigonometry

    Multiple Choice QuestionsShort Answer Type

    131. Evaluate without using trigonometric tables:
    fraction numerator 3 space cos space 55 degree over denominator 7 space sin space 35 degree end fraction minus fraction numerator 4 left parenthesis cos space 70 degree. space cosec space 20 degree right parenthesis over denominator 7 left parenthesis tan space 5 degree. space tan space 25 degree. space tan space 45 degree. space space tan space 65 degree. space tan space 85 degree right parenthesis end fraction.
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    Multiple Choice QuestionsLong Answer Type

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    132.

    Evaluate:
    space 2 over 3 cosec squared 58 degree space minus space 2 over 3 space cot space 58 degree space tan space 32 degree space minus space 5 over 3 space tan space 13 degree. space tan space 37 degree. space tan space 45 degree. space tan space 53 degree. space tan 77 degree.

    2 over 3 cosec squared 58 degree minus 2 over 3 space cot space 58 degree space tan 32 degree space minus space 5 over 3 tan 13 degree. tan 37 degree. tan 45 degree. tan space 53 degree. space tan 77 degree
    space space equals space 2 over 3 cosec squared 58 degree space minus space 2 over 3 space cot space 58 degree. space tan left parenthesis 90 degree minus 58 degree right parenthesis minus 5 over 3 left parenthesis space tan space 13 degree. space tan space 77 degree right parenthesis space left parenthesis tan space 37 degree. space tan space 53 degree right parenthesis.
    equals space 2 over 3 cosec squared 58 degree space minus space 2 over 3. space cot squared 58 degree space minus space 5 over 3 left square bracket tan space 13 degree. space tan left parenthesis 90 degree minus 13 degree right parenthesis right square bracket space left square bracket tan space 37 degree. space tan left parenthesis 90 degree minus 37 degree right parenthesis right square bracket space space space space equals space 2 over 3 left parenthesis cosec squared 58 degree space minus space cot squared 58 degree right parenthesis space minus space 5 over 3 space space space space space space space space space space space space space space space space space space space space space space space left square bracket left parenthesis tan space 13 degree. space cot space 13 degree right parenthesis space left parenthesis tan space 37 degree. space cot space 37 degree right parenthesis right square bracket space equals space 2 over 3 cross times 1 minus 5 over 3 left square bracket 1 cross times 1 right square bracket equals space space 2 over 3 minus 5 over 3 space equals space fraction numerator 2 minus 5 over denominator 3 end fraction equals negative 3 over 3 equals negative 1 space space Ans. space
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    Multiple Choice QuestionsShort Answer Type

    133. Without using trigonometric tables, evalutate the following:
    space space space left parenthesis sin squared 25 degree space plus space sin squared space 65 degree right parenthesis space plus space square root of 3 left parenthesis tan space 5 degree. space tan space 15 degree. space tan space 30 degree. space tan space 75 degree. space tan space 85 degree right parenthesis
    130 Views
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    134. Without using the trigonometric tables, evaluate the following:
    <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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    135. Evaluate without using trigonometric tables:
    space space 2 open parentheses fraction numerator cos squared 20 degree plus cos squared 70 degree over denominator sin squared 25 degree plus sin squared 65 degree end fraction close parentheses minus tan space 45 degree plus space tan space 13 degree space tan space 23 degree space tan space 30 degree space tan space 67 degree space tan space 77 degree
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    Answer
    136. Without using the trigonometric tables, evaluate the following:
    <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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    Multiple Choice QuestionsLong Answer Type

    137. Without using trigonometric tables, evaluate.
    <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>
    115 Views
    Answer
    138. Express the ratios cos A, tan A, cot A and sec A in terms of sin A.
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    Multiple Choice QuestionsShort Answer Type

    139. Prove the following identities:
    secA space left parenthesis 1 minus sinA right parenthesis thin space left parenthesis secA plus tanA right parenthesis space equals 1.
    130 Views
    Answer

    Multiple Choice QuestionsLong Answer Type

    140. Prove the following identities:
    fraction numerator cot space straight A minus cos space straight A over denominator cot space straight A plus cos space straight A end fraction equals fraction numerator cosecA space minus 1 over denominator cosecA plus 1 end fraction.
    90 Views
    Answer
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