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.

Introduction to Trigonometry

Short Answer Type

111. Express the following in terms of trigonometric ratios of angles lying between 0° and 45°
sin 89° + tan 89°

107 Views

112. Express the following in terms of trigonometric ratios of angles lying between 0° and 45°
cosec 69° + cot 69°

110 Views

113. Express the following in terms of trigonometric ratios of angles lying between 0° and 45°
cos 75° + cot 75°

98 Views

114. Express the following in terms of trigonometric ratios of angles lying between 0° and 45°
cos 70° + cot 70°

94 Views

Long Answer Type

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

Let us consider a triangle ABC, right angled at C. we have,

tanA space equals space fraction numerator 1 over denominator square root of 3 end fraction equals BC over AC ref space BC space equals space straight K comma space AC space equals space square root of 3 straight K end root

then,

AB squared equals AC squared plus BC squared space equals space left parenthesis square root of 3 straight K right parenthesis squared plus left parenthesis straight K right parenthesis squared equals space 3 straight K squared plus straight K squared space space space space space space space equals space 4 straight K squared space equals space 2 straight K

Now,

sinA space equals space BC over AB equals fraction numerator straight K over denominator 2 straight K end fraction equals 1 cosB space equals space BC over AB equals fraction numerator straight K over denominator 2 straight K end fraction equals 1 half cosA space equals space AC over AB equals fraction numerator square root of 3 straight K over denominator 2 straight K end fraction equals fraction numerator square root of 3 over denominator 2 end fraction comma sinB space equals space AC over AB equals fraction numerator square root of 3 straight K over denominator 2 straight K end fraction equals fraction numerator square root of 3 over denominator 2 end fraction

Therefore,

<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>

136 Views

116. If ∠ZB and ∠Q are acute angles such that sin B = sin Q, then prove that ∠B = ∠Q.

125 Views

Short Answer Type

117. In ΔABC right angled at A, given ∠B = 30°, AC = 3 cm. Find AB, BC and ∠ACB.

87 Views

118. Find the value of sin 30° geometrically.

1665 Views

119. Find the value of tan 60°, geometrically.

1831 Views

120.

If $sin thin space left parenthesis straight A minus straight B right parenthesis space equals space 1 half comma space space space space space cos space left parenthesis straight A plus straight B right parenthesis space equals space 1 half comma space space space 0 degree less than straight A plus straight B less or equal than 90 degree comma space space straight A greater than straight B.$ Find A and B.

82 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

Long Answer Type

115. In ΔABC, right angled at c,if find the value of sinA. cosB + cosA. sinB

Short Answer Type