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))

2 answers

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
Thank you
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