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Trigonometric Functions

Short Answer Type

271.

Show that:

$fraction numerator tan space straight x plus tan space straight y over denominator tan space straight x minus tan space straight y end fraction equals fraction numerator sin space left parenthesis straight x plus straight y right parenthesis over denominator sin space left parenthesis straight x minus straight y right parenthesis end fraction$

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272.

Show that:

$fraction numerator sin left parenthesis straight x minus straight y right parenthesis over denominator cosx space cosy end fraction plus fraction numerator sin left parenthesis straight y minus straight z right parenthesis over denominator cosy space cosz end fraction plus fraction numerator sin left parenthesis straight z minus straight x right parenthesis over denominator cosz space cosx end fraction equals 0$

104 Views

273.

If $straight A minus straight B space equals space straight pi over 4 comma$ show that:

$left parenthesis 1 plus tan space straight A right parenthesis space left parenthesis 1 minus tan space straight B right parenthesis space equals space 2$

88 Views

274.

If $straight A minus straight B space equals space straight pi over 4 comma$ show that:

$left parenthesis 1 plus tan space straight A right parenthesis space left parenthesis 1 plus tan space straight B right parenthesis space equals space 2 space tan space straight A$

107 Views

275.

If $space space straight theta plus straight ϕ space equals space 45 degree comma$ show that:

$left parenthesis 1 plus tanθ right parenthesis space left parenthesis 1 plus tanϕ right parenthesis space equals space 2$

104 Views

276.

If $space space straight theta plus straight ϕ space equals space 45 degree comma$ show that:

$left parenthesis cotθ space minus space 1 right parenthesis space left parenthesis cotϕ space minus 1 right parenthesis space equals space 2$

101 Views

277.
Prove that:

$tan left parenthesis 3 straight A right parenthesis space minus space tan 2 straight A space minus space tanA space equals space tan space 3 straight A space tan 2 straight A space tanA$

Solution not provided.

101 Views

278.

Prove that:

$tan space 13 straight A space minus space tan space 9 straight A space minus space tan space 4 straight A space equals space tan space 13 straight A space tan space 9 straight A$

101 Views

279.

Prove that:

$cotx space cot 2 straight x space minus space cot space 2 straight x space cot 3 straight x space minus space cot 3 straight x space cotx space equals space 1$

92 Views

280.

Prove that:

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

95 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

277. Prove that:

277.
Prove that:

$tan left parenthesis 3 straight A right parenthesis space minus space tan 2 straight A space minus space tanA space equals space tan space 3 straight A space tan 2 straight A space tanA$