Answer:
1 / √17
Step-by-step explanation:
to solve cos(tan^-1(4))
we break it into simpler terms
tan^-1(4) ------ these will be taken as an angle when dealing with cos
tan Ф = opposite / adjacent = 4 / 1 = 4
Using Pythagoras Theorem
Hypothenus ² = opposite² + adjacent ²
h² = 4² + 1²
h² = 16 + 1
h² = 17
a = √17
cos Ф = adjacent / hypothenus = 1 / √17
cos(tan^-1(4)) = 1 / √17