Question 1205032
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If sin(x)=-5/13 and x is in quadrant III, with 0° ≤ x < 360°, find the exact values of the expressions without solving for x.
sin(x/2)
cos(x/2)
tan(x/2)
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As the problem is worded, &nbsp;printed and presented in the post, &nbsp;it has a shocking deficiency.


One part says that &nbsp;x &nbsp;is in quadrant III, &nbsp;and then next part says &nbsp;0° ≤ x < 360°,
which is &nbsp;INCONSISTENT &nbsp;writing &nbsp;(making a reader tremble in horror).


There are two ways to fix it and to present it correctly/consistently.


One way is to omit this inequality &nbsp;0° ≤ x < 360°.


Other way is to write &nbsp;180° ≤ x < 270°.



As it is seen from the post, &nbsp;the math composer is quite illiterate in writing &nbsp;Math.



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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I am writing these lines in order for to prevent this formulation 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;to go out in the Internet for spreading/distribution in this form

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;as it is presented in the post.


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With friendly greetings.