In any triangle ABC, show that from Mathematics Trigonometric F

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Advertisement

Trigonometric Functions

Short Answer Type

171.

Find $space space space straight capital delta comma space straight r space and space straight R comma$ when $straight a equals 22 comma space straight b equals 28 comma space straight c equals 36$

123 Views

172. In any triangle ABC, show that

left parenthesis abc right parenthesis space straight s space equals space straight capital delta squared space cosec straight A over 2 cosec straight B over 2 cosec straight C over 2

111 Views

173.

In any triangle, show that: $4 Rcos straight A over 2 cos straight B over 2 cos straight C over 2 equals straight s$

102 Views

Advertisement

174. In any triangle ABC, show that

$sin space straight A plus sin space straight B plus sin space straight C space equals space fraction numerator straight capital delta over denominator straight r space straight R end fraction$

straight a over sinA space equals space straight b over sinB space equals space straight c over sinC space equals space 2 straight R

rightwards double arrow

straight a equals space 2 straight R space sinA comma space space straight b space equals space 2 straight R space sinB comma space straight c equals space 2 straight R space sinC

∴ L.H.S. =

sin space straight A plus sin space straight B plus sin space straight C

<pre>uncaught exception: <b>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</b><br /><br />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<br />#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>

...(i)

(∵ a + b + c = 2s)

But,

space space space space space space straight r space equals space straight capital delta over straight s

rightwards double arrow

straight s equals straight capital delta over straight r

∴ From (i),

space space space sinA plus sinB plus sinC space equals space fraction numerator left parenthesis straight capital delta divided by straight r right parenthesis over denominator straight R end fraction space equals space fraction numerator straight capital delta over denominator straight R space straight r end fraction space equals space straight R. straight H. straight S.

Hence,

sinA space plus space sinB space plus space sinC space equals space fraction numerator straight capital delta over denominator straight R space straight r end fraction

100 Views

Advertisement

Advertisement

175. In any triangle ABC, show that

cosA space plus space cosB space plus space cosC space equals space 1 plus straight r over straight R

109 Views

Long Answer Type

176. In any triangle ABC, show that

<pre>uncaught exception: <b>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</b><br /><br />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<br />#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>

Hence, prove that if sides a,b,c are in A.P.,

cot straight A over 2 comma space cot straight B over 2 space and space cot straight C over 2

are in A.P.

109 Views

Short Answer Type

177.

In triangle ABC, if b = 15 cm, $space space cosB space equals space 4 over 5 comma$ find R.

107 Views

178.

Convert to radian measure:

$40 degree space 20 apostrophe$

98 Views

Advertisement

179.

Convert to radian measure:

$40 degree space 15 apostrophe space 36 apostrophe apostrophe$

102 Views

180.

Convert to radian measure:

$22 degree space 30 apostrophe$

93 Views

Advertisement