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# Trig and unit circle question

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Let $$\theta$$ be an angle with a terminal point of $$P$$ shown in the picture below, and let $$Q$$, $$R$$, and $$S$$ be the following other terminal points:

Order the points

$$P, Q, R, S$$

so that the first point is the terminal point of $$\arccos(\sin(\theta))$$ the second point is the terminal point of $$\arctan(\tan(\theta))$$ the third point is the terminal point of $$\arcsin(\sin(\theta))$$ and the fourth point is the terminal point of $$\arccos(\cos(\theta))$$.

This question was asked before, but only a joke answer given :/
I think $$\arccos(\sin(\theta))$$ would be S??

Nov 22, 2021

#1
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The answer is R, S, P, Q.

Nov 22, 2021
#2
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Answer #1 is a lie, the actual answer is QRSP for anyone interested.

Guest Nov 22, 2021
#3
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Your question makes no sense to me.

You say that theta has the terminal point of P

then you say  P is the terminal point of  acos(sin(theta))

It can't be both.

Nov 22, 2021