csc is a trigonometry function cosec, which is 1/sin.
You are given that csc(t) = , where "t" is some angle and "a" and "b" are some real numbers.
and "they" want you find cot(t).
In other words, you are given that sin(t) = (inverted ratio),
and "they" want you find cot(t).
As you know (or must know) cot(t) = .
You just know the denominator sin(t): it is just given and is equal to .
Next step you need to do is to compute cos(t).
It is easy: cos(t) = = .
Therefore, you answer is: cot(t) = .
Answer. cot(csc^-1(a/b)) = cot(t) = cot(arccsc(a/b) = .
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Solved.
Is everything clear to you in this solution and in the answer ?
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If you do, then refer please to the problem's ID number, which is 1113025.
