How do you calculate sin(cos1(513)+tan1(34))?

1 Answer
May 18, 2018

sin(cos1(513)+tan1(34))=6365

Explanation:

Let cos1(513)=x then

cosx=513

sinx=1cos2x=1(513)2=1213

x=sin1(1213)=cos1(513)

Also, let tan1(34)=y then

tany=34

siny=1cscy=11+cot2y=11+(43)2=35

y=tan1(34)=sin1(35)

cos1(513)+tan1(34)

=sin1(1213)+sin1(35)

=sin112131(35)2+351(1213)2

=sin1(121345+35513)=6365

Now, sin(cos1(513)+tan1(34))

=sin(sin1(6365))=6365