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Help please, If the point P in the unit circle that corresponds to a real number t is [5/7, -sqrt6:radicand2/7] find csc(t)?

Mathematics
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The expression is a bit confusing. Can you rewrite that?
Did you mean \[(\frac{5}{7}, \frac{-2\sqrt6}{7})\]
yes

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I am having so much trouble learning trig at the age of 45 lol
Any point on the unit circle can be represented by \[(\sin(t), \cos(t))\]. The angle t isn't important here. What this tells us is that the current angle has a sine of (5/7). And we know that csc(t) = 1/sin(t), so all we do is flip the sine value to get csc(t) for the t in question = 7/5
oh my.........thank you so much
so I need to study the trig functions of sin cos, and tan, and then flip for cot, csc, and sec
You have the right name, lifesaver!
Make sure you know which one is the inverse of which: csc(t) = 1/sin(t) sec(t) = 1/cos(t) cot(t) = 1/tan(t) just in case
So......if I have this P on this unit circle that corresponds to a real number (t) and the [-sqrt:7/4, -3/4] and I need to find cot(t) the answer would be the square root of 7/3 right?
Depends on where you mean to have parenthesis, but even then, still not quite: (sqrt(7))/3 = tan(t). So cot(t) is the inverse of that: 3/(sqrt(7))

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