Quick Trig Question: Solving for θ=-Pi/4

[mrshappy0]

Homework Statement

I am working through a calc 2 problem. I managed to get here without really completely understanding trig. There was a point in the problem where θ=Tan^-1(-2/2) = -Pi/4. How does this work?

Homework Equations

I do not know any relevant equations

The Attempt at a Solution

I really have no clue. I have done research countless times.

 

[symbolipoint]

For purposes of the Inverse Tangent, the Tangent function is restricted to the angle values from negative pi/2 to positive pi/2. A tangent of (-2/2) is the same as the tangent of (-1), and just relating this to the unit circle, this ange is -π/4.

 

[Mark44]

Homework Statement

I am working through a calc 2 problem. I managed to get here without really completely understanding trig. There was a point in the problem where θ=Tan^-1(-2/2) = -Pi/4. How does this work?

I would advise you to spend some time reviewing basic trigonometry, especially in relation to the trig functions and their inverses. If you are trying to work through integrals without a solid understanding of trig, you will really have a hard time, particularly when it comes to trig substitutions.

Some time invested in reviewing your old precalc book would really pay off. Alternatively, there are many helpful videos about a variety of topics in math at khanacademy.org. A good place to start would be http://www.khanacademy.org/#trigonometry.