Calculate E=sin(arcsin1/2)+sin{arccos [(sqrt3)/2]}.



1 Answer | Add Yours

neela's profile pic

Posted on

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

Therefore, y=1/2


Threfore, the value of E is 1.

We’ve answered 288,588 questions. We can answer yours, too.

Ask a question