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Trigonometric Functions

Short Answer Type

471.

If D and C are respectively the number of degrees and radians in a given angle, show that:

$straight D over 90 space equals space fraction numerator 2 straight C over denominator straight pi end fraction$

97 Views

472.

Find the angle in degrees subtended at the centre of a circle by an arc whose length is 2.2 times the radius of the circle.

220 Views

473.

Find the angle in: (a) radians (b) degrees between the minute hand and the hour hand at 20 minutes past 7.

97 Views

474.

Find the value of:

$fraction numerator tan space 69 degree space plus space tan space 66 degree over denominator 1 minus tan space 69 degree space tan space 66 degree end fraction$

99 Views

475.

Find the value of:

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

97 Views

476.

Prove that: $fraction numerator tan left parenthesis straight A plus straight B right parenthesis over denominator cot left parenthesis straight A minus straight B right parenthesis end fraction equals fraction numerator sin squared straight A minus sin squared straight B over denominator cos squared straight A minus sin squared straight B end fraction$

101 Views

477.

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

478.
If tan (A + B) = m and tan (A - B) = n, show that

$tan space 2 straight A space equals space fraction numerator straight m plus straight n over denominator 1 minus mn end fraction$

Solution not provided.

(Hint: $space space space space tan space 2 straight A space equals space tan open curly brackets left parenthesis straight A plus straight B right parenthesis space plus space left parenthesis straight A minus straight B right parenthesis close curly brackets$

107 Views

479.

If tan (A + B) = m and tan (A - B) = n, show that

$tan space 2 straight B space equals space fraction numerator straight m minus straight n over denominator 1 plus mn end fraction$

113 Views

480.

If $sin space straight A space equals space 4 over 5 space space and space cosB space equals space fraction numerator negative 5 over denominator 13 end fraction comma$ where $0 less than straight A less than straight pi over 2 comma space straight pi over 2 less than straight B less than straight pi comma$ find the value of cos(A - B).