Prove that: from Mathematics Trigonometric Functions

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 Multiple Choice QuestionsShort Answer Type

491.

Solve the following equation, giving the general solution:

space space square root of 3 space sinx space minus space cosx space equals space square root of 2

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492.

Solve the following equation, giving the general solution:

2 space tanx space minus space cotx space plus 1 space equals 0


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493.

Solve the following equation, giving the general solution:

cot squared straight x plus 3 space cosecx plus 3 equals 0

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494.

Solve the following equation, giving the general solution:

square root of 2 sec space straight x plus tan space straight x equals 1

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495.

Solve the following equation, giving the general solution:

4 space sinx space cosx space plus space 2 space sinx space plus space 2 space cosx space plus space 1 space equals 0



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496.

An angle straight alpha is divided into two parts such that the ratio of the tangents of the two parts is k:1 and the difference of the two parts is equal to x. 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)
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#6 {main}</pre>

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497.

Prove that:

cos space 40 degree space cos space 80 degree space cos space 160 degree space equals space minus 1 over 8

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498.

Prove the following:

(i) sin space 38 degree space plus space sin space 22 degree space equals space sin space 82 degree   (ii) <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)
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#6 {main}</pre>


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499.

The angles of a triangle are in A.P. and the greatest angle is 5 times the smallest angle. Find the angle in radians.

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500.

Prove that:

cosec space 2 straight A space plus space cot space 2 straight A space equals space cotA.


Solution not provided.


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