Question

I really need help on this. Can someone show me step by step how to do this plz.

Solve the follow:

csc (tan^-1(x))

Answer 1

making a sketch of the situation might help

first look at tan^-1 (x/1)

construct a right-angled triangle with base angle of Ø, opposite side x, and adjacent side 1
so that tanØ = x/1
r^2 = x^2 + 1^2
r = √(x^1 + 1)

sinØ = x/√(x^1 + 1)
then cscØ = √(x^2 + 1)/x

csc (tan^-1(x)) = √(x^2 + 1)/x

Answer 2

Thank you