How can the following function such that no trigonometric functions

Mark Johns

Mark Johns

Answered question

2022-02-25

How can the following function such that no trigonometric functions are present:
sin3(cot1(x))

Answer & Explanation

suable9w4

suable9w4

Beginner2022-02-26Added 4 answers

You can show that for x>0
cot1x=sin111+x2
Then
sincot1x=11+x2
and thus
(sincot1x)3=11+x211+x2
The proof:
x=coty
1+x2=csc2y
1+x2=cscy
11+x2=siny

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