What does cos(arctan(3))+sin(arctan(4)) equal?

1 Answer
Mar 4, 2018

cos(arctan(3))+sin(arctan(4))=110+417

Explanation:

Let tan1(3)=x

then tanx=3

secx=1+tan2x=1+32=10

cosx=110

x=cos1(110)=tan1(3)

Also, let tan1(4)=y

then tany=4

coty=14

cscy=1+cot2y=1+(14)2=174

siny=417

y=sin1(417)=tan14

Now, cos(tan1(3))+sin(tan1tan(4))

cos(cos1(110))+sin(sin1(417))=110+417