Question

write an equivalent expression that involves x only (assume x is positive) problem below

Answer 1

\[\sin (\tan^{-1} x)\]

Answer 2

@jdoe0001 or @whpalmer4 ??

Answer 3

@FibonacciChick666

Answer 4

ok so, there are a few different ways to approach this. First, we can think about tan^-1. It's a bounded function right?

Answer 5

ok what do u mean by bounded - i may know but not with wording :)

Answer 6

bounded = the function never goes above or below certain constants

Answer 7

oh yes :)

Answer 8

so we know the range for the potential x's right?

Answer 9

aka, what are our min and max values in arctan(x) for every x>0, then what will that in turn make our sin values?