Evaluate the expression

Question

Cos( tan^-1 1/5 + sin^-1 sqrt3/ 5)

Answer 1

cos[tan^-1(1/5) + sin^-1(√3/5)] = cos(tan^-1(1/5))cos(sin^-1(√3/5)) - sin(tan^-1(1/5))sin(sin^-1(√3/5)) = 5/√26·√22/5 -

1/√26·√3/5 = √11/√13 - √3/(5√26) = 0.85193

Answer 2

about 0.451

cos(63.2) = 0.451

the angle whose sine = sqr(3/5) = 51.9

the angle whose tangent = 1/5 = 11.31

add them to get 63.2

use a calculator with trig functions