<PRE><B>Question 838565</B>
Find the exact value of sin theta if, theta = tan inverse (2/3)
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tan theta=2/3
hypotenuse 0f working right triangle=&amp;#8730;(2^2+3^2)=&amp;#8730;(4+9)=&amp;#8730;13
sin theta=2/&amp;#8730;13=2&amp;#8730;13/13
check:(w/calculator)
tan x=2/3
x&amp;#8776;33.69&amp;#730;
sinx=sin33.69&amp;#730;&amp;#8776;0.5547..
exact value as calculated=2&amp;#8730;13/13&amp;#8776;0.5547</PRE>