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ત્રિકોણમિતીય વિધેયોના વિશિષ્ટ મૂલ્યો અને આલેખો

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ગણિત ધોરણ 11 સેમિસ્ટર 1

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ગણિત

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ત્રિકોણમિતીય વિધેયોના વિશિષ્ટ મૂલ્યો અને આલેખો
open parentheses bold sin bold space bold pi over bold 6 bold space bold plus bold space bold cos bold space bold pi over bold 6 close parentheses bold space open parentheses bold sin to the power of bold 2 bold space bold pi over bold 6 bold space bold minus bold space bold sin bold space bold pi over bold 6 bold space bold cos bold space bold pi over bold 6 bold space bold plus bold space bold cos to the power of bold 2 bold space bold pi over bold 6 close parentheses ની કિંમત શોધો.
Answer
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    સાબિત કરો કે, bold italic c bold italic o bold italic s bold space bold pi over bold 3 bold space bold italic c bold italic o bold italic s bold space bold pi over bold 4 bold space bold plus bold space bold italic s bold italic i bold italic n bold space bold pi over bold 3 bold space bold italic s bold italic i bold italic n bold space bold pi over bold 4 bold space bold equals bold space fraction numerator square root of bold 3 bold space bold plus bold space bold 1 over denominator bold 2 bold space square root of bold 2 end fraction

    bold L bold. bold H bold. bold S bold. bold space bold equals bold space bold cos bold space bold pi over bold 3 bold space bold cos bold space bold pi over bold 4 bold space bold plus bold space bold sin bold space bold pi over bold 3 bold space bold sin bold space bold pi over bold 4

                bold equals bold space open parentheses bold 1 over bold 2 close parentheses bold space open parentheses fraction numerator bold 1 over denominator square root of bold 2 end fraction close parentheses bold space bold plus bold space open parentheses fraction numerator square root of bold 3 over denominator bold 2 end fraction close parentheses bold space open parentheses fraction numerator bold 1 over denominator square root of bold 2 end fraction close parentheses bold equals bold space fraction numerator bold 1 bold space bold plus bold space square root of bold 3 over denominator bold 2 square root of bold 2 end fraction bold equals bold space fraction numerator square root of bold 3 bold space bold plus bold space bold 1 over denominator bold 2 square root of bold 2 end fraction bold equals bold space bold L bold. bold H bold. bold S bold.
    Answer
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    bold 2 bold space bold sin to the power of bold 2 bold space bold pi over bold 4 bold space bold plus bold space bold 2 bold space bold cos to the power of bold 2 bold space bold pi over bold 4 bold space bold plus bold space bold sec to the power of bold 2 bold space bold pi over bold 3 નું મૂલ્ય મેળવો.
    Answer
    • <pre>uncaught exception: <b>Http Error #404</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php line 61<br />#0 [internal function]: com_wiris_plugin_impl_HttpImpl_0(Object(com_wiris_plugin_impl_HttpImpl), NULL, 'http://www.wiri...', 'Http Error #404') #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/php/Boot.class.php(769): call_user_func_array('com_wiris_plugi...', Array) #2 [internal function]: _hx_lambda->execute('Http Error #404') #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(532): call_user_func_array(Array, Array) #4 [internal function]: haxe_Http_5(true, Object(com_wiris_plugin_impl_HttpImpl), Object(com_wiris_plugin_impl_HttpImpl), Array, Object(haxe_io_BytesOutput), true, 'Http Error #404') #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/php/Boot.class.php(769): call_user_func_array('haxe_Http_5', Array) #6 [internal function]: _hx_lambda->execute('Http Error #404') #7 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(27): call_user_func_array(Array, Array) #8 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(444): com_wiris_plugin_impl_HttpImpl->onError('Http Error #404') #9 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(458): haxe_Http->customRequest(true, Object(haxe_io_BytesOutput), NULL, NULL) #10 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(40): haxe_Http->request(true) #11 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(80): com_wiris_plugin_impl_HttpImpl->request(true) #12 /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) #13 {main}</pre> નું મૂલ્ય મેળવો.
    Answer
    • bold sec bold space bold pi over bold 6 bold space bold tan bold space bold pi over bold 3 bold space bold plus bold space bold sin bold space bold pi over bold 4 bold space bold cosec bold space bold pi over bold 4 bold space bold plus bold space bold cos bold space bold pi over bold 6 bold space bold cot bold space bold pi over bold 3 નું મૂલ્ય મેળવો.
    Answer
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