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.

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:

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

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

rightwards double arrow space space 2 space cos open parentheses fraction numerator mx plus nx over denominator 2 end fraction close parentheses space cos open parentheses fraction numerator mx space minus space nx over denominator 2 end fraction close parentheses space equals space 0

open square brackets because space cosC space plus space cosD space equals space 2 cos open parentheses fraction numerator straight C plus straight D over denominator 2 end fraction close parentheses space cos open parentheses fraction numerator straight C minus straight D over denominator 2 end fraction close parentheses close square brackets

rightwards double arrow

either

space space cos open parentheses fraction numerator straight m plus straight n over denominator 2 end fraction close parentheses straight x space equals space 0

cos open parentheses fraction numerator straight m minus straight n over denominator 2 end fraction close parentheses straight x space equals space 0

rightwards double arrow

either

open parentheses fraction numerator straight m plus straight n over denominator 2 end fraction close parentheses straight x space equals space left parenthesis 2 straight p plus 1 right parenthesis straight pi over 2 comma space straight p space element of space straight Z

space space space open parentheses fraction numerator straight m minus straight n over denominator 2 end fraction close parentheses straight x space equals space left parenthesis 2 straight p plus 1 right parenthesis straight pi over 2 comma space space straight p space element of space straight Z

rightwards double arrow

either

straight x space equals space open parentheses fraction numerator 2 straight p plus 1 over denominator straight m plus straight n end fraction close parentheses straight pi comma space space straight p space element of space straight Z

space space space straight x space equals space open parentheses fraction numerator 2 straight p plus 1 over denominator straight m minus straight n end fraction close parentheses straight pi comma space straight p element of space straight z

rightwards double arrow

straight x space equals space open parentheses fraction numerator 2 straight p plus 1 over denominator straight m plus straight n end fraction close parentheses straight pi

straight x space equals space open parentheses fraction numerator 2 straight p plus 1 over denominator straight m minus straight n end fraction close parentheses straight pi comma space space straight p space element of space straight Z

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

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:

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