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.

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:

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

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:

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