Solved on Feb 16, 2024

Find the cotangent of the negative of an angle x if the cotangent of x is 0.3.

STEP 1

Assumptions
1. We are given that cot(x)=0.3\cot(x) = 0.3.
2. We need to find the value of cot(x)\cot(-x).
3. We know that the cotangent function is an odd function, which means cot(x)=cot(x)\cot(-x) = -\cot(x).

STEP 2

Use the property of the cotangent function being an odd function to find the value of cot(x)\cot(-x).
cot(x)=cot(x)\cot(-x) = -\cot(x)

STEP 3

Substitute the given value of cot(x)\cot(x) into the equation.
cot(x)=0.3\cot(-x) = -0.3
The value of cot(x)\cot(-x) is 0.3-0.3.

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