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Trigonometric Functions

Short Answer Type

141.

Find the general solution of:

$sec squared 2 straight x space equals space 1 minus tan 2 straight x$

126 Views

142.

Find the general solution of:

$tan space 2 straight x space equals space tan space straight x$

104 Views

143.

Find the general solution of:

$cos space mx space plus space cos space nx space equals space 0$

114 Views

144. Find the general solution of the following trigonometric equation:

square root of 3 space sinx space minus space cos space straight x space equals space square root of 2

110 Views

145. Find the general solution of the following trigonometric equation:

tan space straight theta space plus space sec space straight theta space equals space square root of 3

122 Views

146. Find the general solution of the following trigonometric equation:

$tan space straight x space plus space tan space 2 straight x space plus space tan space straight x space tan space 2 straight x space equals space 1$

tan space straight x space plus space tan space 2 straight x space plus space tan space straight x space tan space 2 straight x space equals space 1

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tan space straight x space plus space tan space 2 straight x space minus space 1 space minus space tan space straight x space tan space 2 straight x space space

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fraction numerator tan space straight x space plus space tan space 2 straight x over denominator 1 minus tan space straight x space tan space 2 straight x end fraction space equals space 1

rightwards double arrow

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open square brackets Using space fraction numerator tanA plus tanB over denominator 1 minus tanA space tanB end fraction space equals space tan left parenthesis straight A plus straight B right parenthesis close square brackets

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tan space 3 straight x space equals space 1 space equals space tan space 45 degree space equals space tan straight pi over 4 space space space space space space rightwards double arrow space space space space space space 3 straight x space equals space nπ space plus space straight pi over 4 comma space space straight n space element of space straight Z

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straight x space equals space nπ over 3 plus straight pi over 12 comma space straight n space element of space straight Z

Which is the required general solution.

158 Views

147. Find the general solution of the following trigonometric equation:

tan squared straight theta space plus space cot squared straight theta space equals space 2

113 Views

148. Find the general solution of the equation:

cos space 3 straight x space equals space sin space 2 straight x.

96 Views

Long Answer Type

149.

Find the general solution of the equation:

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

117 Views

Short Answer Type

150.

Find the general solution of the equations:

$space space space tanx space plus space tan 2 straight x space plus space tan 3 straight x space equals space tanx space space tan 2 straight x space space tan 3 straight x$

104 Views