To find the value of E
There are two terms . We shall simplify term by term.
Firrst term sin(arcsin1/2) = x say, then by definition,
arcsin1/2 =arcsinx. by comparison, oviously x=1/2.
The second term:
We know that arccos X = arcsin sqrt(1-X^2). Use this idea here.
sin arc(cos(sqrt3/2))=y say.
y =sin[sinarcssqrt(1-(sqrt3/2)^2)]=sqrt(1-3/4)=sqrt(1/4) =1/2
Threfore, the value of E is 1.