Question 1203814
Evaluate the expression without using a calculator.

{{{ cos(sin^-1(1/2))}}} 


let {{{ sin^-1(1/2)=x}}} 


 then {{{ sin(x)=1/2}}} 



then use identity {{{ cos(x)=sqrt(1-sin^2(x))}}}  and substitute sin

{{{ cos(x)=sqrt(1-(1/2)^2)}}} 


{{{ cos(x)=sqrt(1-1/4)}}} 


{{{ cos(x)=sqrt(3/4)}}} 


{{{ cos(x)=sqrt(3)/sqrt(4)}}} 


{{{ cos(x)=sqrt(3)/2}}}