Evaluate the expression using a calculator. Express your answer in radians, rounding to two decimal places. tan ⁡ − 1 ( 5 ) \tan^{-1}\left(5\right) tan − 1 ( 5 )

this problem, we're asked to evaluate the expression using a calculator. Now, we want to express our answer in radians and round to 2 decimal places and the expression that we're given here is the inverse tangent of 5. Now if it didn't explicitly tell me to use a calculator, you may already know that because 5 is not a value that is on our unit circle. So that's even more of a clue that we need to go ahead and just type this into our calculator. Now remember, when using inverse trig functions in your calculator, you're going to first press the second button and then you're going to press the corresponding trig function you're working with. So here, I would press second and then tangent in order to get the inverse tangent. Now after I type in 2nd and then tangent, I can type in my value here, which is 5, and press enter in order to get a solution. Now remember that your calculator should be in radian mode here because we're trying to get an answer in radians. Now once you type all of that in and press enter, you should get 1.37 rounded to those 2 decimal places. So here the inverse tangent of 5 is 1.37 and we're done here. Thanks for watching and I'll see you in the next one.