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Trigonometric Functions

Short Answer Type

291.

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120 Views

292.

Show: $tan space 2 straight theta space minus space tanθ space equals space tanθ. space sec 2 straight theta$

105 Views

293.

Show:

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116 Views

294.

If $tanA space equals space 5 over 6$ and $tanB space equals space 1 over 11 comma$ prove that $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

102 Views

295.

Prove that: $tan space 36 degree plus space tan 9 degree space plus space tan 36 degree space tan 9 degree space equals space 1$

[Hint: $45 degree space equals space 36 degree plus 9 degree$ etc.]

118 Views

296.

If $space space tanA plus tanB space equals space straight alpha comma space space cotA plus cotB space equals straight b comma$ prove that $cot space left parenthesis straight A plus straight B right parenthesis space equals space 1 over straight a minus 1 over straight b.$

104 Views

297.

Prove that: $cos space 2 straight A space cos space 2 straight B space plus space sin squared left parenthesis straight A minus straight B right parenthesis minus space sin squared left parenthesis straight A plus straight B right parenthesis space equals space cos left parenthesis 2 straight A plus 2 straight B right parenthesis.$

117 Views

298.

If $space space space cosA plus sinB equals straight m comma space sinA plus cosB space equals space straight n comma$ show that $sin space left parenthesis straight A plus straight B right parenthesis space equals space fraction numerator straight m squared plus straight n squared minus 2 over denominator 2 end fraction.$

123 Views

299.
If A+ B = C and tan A = k tan B, show that $sin space straight C space equals space fraction numerator straight k plus 1 over denominator straight k minus 1 end fraction sin left parenthesis straight A minus straight B right parenthesis.$

Solution not provided.

104 Views

300.

Prove $cos squared open parentheses straight pi over 4 plus straight t close parentheses minus sin squared open parentheses straight pi over 4 minus straight t close parentheses$ is independent of t.

106 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

299. If A+ B = C and tan A = k tan B, show that

299.
If A+ B = C and tan A = k tan B, show that $sin space straight C space equals space fraction numerator straight k plus 1 over denominator straight k minus 1 end fraction sin left parenthesis straight A minus straight B right parenthesis.$