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Find the exact value of tan−133.Write your answer in radians in terms of π.=tan−133

Question

Find the exact value of tan−133.Write your answer in radians in terms of π.=tan−133

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Solution

The question seems to be asking for the value of the inverse tangent of -133, written in radians in terms of π. However, the inverse tangent function, also known as arctan or tan^-1, gives an output in the range of -π/2 to π/2 radians. This is because the tangent function has a period of π, and repeats its values outside of this range.

Therefore, the value of tan^-1(-133) will be a very large negative number, but it will still fall within the range of -π/2 to π/2.

To find the exact value, you can use a calculator to find the inverse tangent of -133.

Please note that the result will not be a simple fraction of π, because -133 is not a special angle where the tangent is a simple rational number.

So, the exact value of tan^-1(-133) cannot be expressed in terms of π without using a calculator.

This problem has been solved

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