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Mathematics : Trigonometric Functions

Short Answer Type

331.

Show that: $sin 10 degree sin 50 degree sin 70 degree equals 1 over 8$

102 Views

332.

Show that:

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

116 Views

333.

Show that:

$cos 10 degree cos 50 degree cos 70 degree equals fraction numerator square root of 3 over denominator 8 end fraction$

113 Views

334.

Show that:

$tan 20 degree tan 40 degree tan 80 degree equals tan 60 degree equals square root of 3$

112 Views

335.

Show that:

$fraction numerator sec 8 straight theta minus 1 over denominator sec 4 straight theta minus 1 end fraction equals fraction numerator tan 8 straight theta over denominator tan 2 straight theta end fraction$

108 Views

336.

If $2 tan straight theta equals 3 tan straight ϕ$

Prove that: $tan left parenthesis straight theta minus straight ϕ right parenthesis equals fraction numerator sin 2 straight ϕ over denominator 5 minus cos 2 straight ϕ end fraction$

114 Views

337.

Prove: $fraction numerator sinα plus sin 2 straight alpha over denominator 1 plus cosα plus cos 2 straight alpha end fraction equals tanα$

118 Views

338.

If $tan left parenthesis straight x plus straight y right parenthesis equals 20 over 21 comma tan left parenthesis straight x minus straight y right parenthesis equals 3 over 4 comma$ then show that $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

114 Views

339.

Prove that:

$cos open parentheses fraction numerator 3 straight pi over denominator 4 end fraction plus straight x close parentheses plus cos open parentheses fraction numerator 3 straight pi over denominator 4 end fraction minus straight x close parentheses equals minus square root of 2 cosx$

122 Views

340.

Prove that:

$cos open parentheses straight pi over 4 minus straight x close parentheses minus cos open parentheses straight pi over 4 plus straight x close parentheses equals square root of 2 sinx$

117 Views