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Trigonometric Functions

Short Answer Type

351.

Prove the following:

$fraction numerator cos 3 straight A plus 2 cos 5 straight A plus cos 7 straight A over denominator cosA plus 2 cos 3 straight A plus cos 5 straight A end fraction equals fraction numerator cos 5 straight A over denominator cos 3 straight A end fraction$

98 Views

352.

Prove the following:

$fraction numerator sinA plus sin 3 straight A plus sin 5 straight A over denominator cosA plus cos 3 straight A plus cos 5 straight A end fraction equals tan 3 straight A$

102 Views

353.

Prove the following:

$fraction numerator left parenthesis sin 7 straight x plus sin 5 straight x right parenthesis plus left parenthesis sin 9 straight x plus sin 3 straight x right parenthesis over denominator left parenthesis cos 7 straight x plus cos 5 straight x right parenthesis plus left parenthesis cos 9 straight x plus cos 3 straight x right parenthesis end fraction equals tan 6 straight x$

102 Views

354.

Prove the following:

$fraction numerator sin 3 straight A cos 4 straight A minus sinA cos 2 straight A over denominator sin 4 straight A sinA plus cos 6 straight A cosA end fraction equals tan 2 straight A$

127 Views

355.

Prove the following:

$fraction numerator sin 11 straight x sinx plus sin 7 straight x sin 3 straight x over denominator cos 11 straight x sinx plus cos 7 straight x sin 3 straight x end fraction equals tan 8 straight x$

105 Views

356.

Prove the following:

$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

105 Views

357.
Prove that:

$sin open parentheses straight theta over 2 close parentheses sin open parentheses fraction numerator 7 straight theta over denominator 2 end fraction close parentheses plus sin open parentheses fraction numerator 3 straight theta over denominator 2 end fraction close parentheses sin open parentheses fraction numerator 11 straight theta over denominator 2 end fraction close parentheses equals sin 2 straight theta sin 5 straight theta$

Solution not provided.

102 Views

358.

If angles A, B, C are in A.P., show that: $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

112 Views

359.

Show that:

$left parenthesis cosx minus cosy right parenthesis squared plus left parenthesis sinx minus siny right parenthesis squared space equals space 4 space sin squared open parentheses fraction numerator straight x minus straight y over denominator 2 end fraction close parentheses.$

108 Views

360.

Show that:

$left parenthesis cosx plus cosy right parenthesis squared plus left parenthesis sinx plus siny right parenthesis squared space equals space 4 space cos squared open parentheses fraction numerator straight x minus straight y over denominator 2 end fraction close parentheses.$

115 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

357. Prove that: