Evaluate \(\displaystyle{\cos{{\left[{\left(\frac{{1}}{{2}}\right)}{\left[{\arcsin{{\left(-\frac{{3}}{{5}}\right)}}}\right]}\right]}}}\)



Answered question


Evaluate cos[(12)[arcsin(35)]]

Answer & Explanation

Cason Singleton

Cason Singleton

Beginner2022-04-04Added 13 answers

If arcsin(35)=y, π2<y<0cosy>0 and cos[12arcsin(35)]=cosy2>0
and siny=35cosy=+1sin2y
Now use cosy=2cos2y21
and we know cosy2>0

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