Math  /  Trigonometry

QuestionQuestion Given that cot(x)=52\cot (x)=-\frac{5}{2}, what is cot(x)\cot (-x) ?
Provide your answer below:

Studdy Solution
Apply the identity to find cot(x)\cot(-x):
Since cot(x)=52\cot(x) = -\frac{5}{2}, we substitute into the identity:
cot(x)=cot(x)=(52)\cot(-x) = -\cot(x) = -\left(-\frac{5}{2}\right)
Simplify the expression:
cot(x)=52\cot(-x) = \frac{5}{2}
The value of cot(x)\cot(-x) is:
52 \boxed{\frac{5}{2}}

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