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

The question is asking for the value of the inverse tangent of 33, written in radians in terms of π.

Step 1: Calculate the inverse tangent of 33.

The inverse tangent of a number is the angle whose tangent is that number. In other words, if tan(θ) = 33, then θ = tan^(-1)(33).

Step 2: Convert the result to radians.

The inverse tangent function usually gives an answer in radians. However, if your calculator is set to degrees, you will need to convert the result to radians. The conversion factor is π radians = 180 degrees.

Step 3: Write the result in terms of π.

If the result is a simple fraction of π, you can write it as such. If not, you can approximate the result to the nearest fraction of π.

Note: The exact value of tan^(-1)(33) is not a simple fraction of π, and it's not possible to express it exactly in terms of π. You can only approximate it.

For example, tan^(-1)(33) ≈ 1.5597 radians, which is approximately 0.496π.

Please note that this is an approximation. The exact value cannot be expressed as a simple fraction of π.