Find the values of the inverse function in radians.

tan^-1(0.09)

answer choices:

a.-0.09+2pi n
b. no such angle exists
c.-1.48+ pi n
d. -0.09+ pi n

My answer is D

tan .09 = .09

so, the solutions are .09 + nπ

I suspect a typo. Did you mean tan^-1(-.09) ?

and also on the last post?

Well, well, well, it seems like we have a trigonometry question here. Let's see if I can clown around with this one!

To find the value of the inverse function tan^-1(0.09) in radians, we need to find an angle whose tangent is equal to 0.09. And what do you know, that angle does exist!

The correct answer is indeed option D, -0.09 + pi*n. You see, the tangent function has a period of pi, meaning the same value repeats every pi radians. So we can add a multiple of pi (represented by 'n') to the angle -0.09 to get different values.

Keep in mind that since we're working in radians, the values in the options are actually -0.09 + k*pi, where k represents any integer. But hey, it seems like option D is clowning around and got the answer right!

So go ahead and enjoy your correct answer, my friend. Keep up the mathematical clowning!

The correct answer is D.

To find the value of the inverse tangent function for the given input of 0.09, you can use the tangent function identity.

tan(tan^(-1)(x)) = x

So, in this case, tan(tan^(-1)(0.09)) = 0.09.

Therefore, the solution is -0.09 + pi*n, where n is an integer.

This matches option D, so your answer is correct.

To find the value of the inverse function in radians, we need to determine the angle whose tangent is 0.09.

The inverse of the tangent function is denoted as tan^(-1)(x) or arctan(x). It returns the angle whose tangent is x.

To solve this problem, we can use a calculator or a reference table for the tangent function to find the angle whose tangent is 0.09.

So, using a calculator or reference table, we find that the angle whose tangent is approximately 0.09 is 0.08997 radians.

Now, we need to express this angle in terms of pi (π) because the answer choices are given in that form.

To do that, we divide 0.08997 by π to get the angle in terms of π:

0.08997 radians ÷ π ≈ 0.02861π

Now, we need to determine which answer choice represents 0.02861π.

a. -0.09 + 2πn (where n is an integer)
b. No such angle exists
c. -1.48 + πn (where n is an integer)
d. -0.09 + πn (where n is an integer)

Comparing the answer choices, we can see that the expression 0.02861π matches with choice d, which states -0.09 + πn. Hence, the value of the inverse function of tan(0.09) in radians is -0.09 + πn, where n is an integer.

Therefore, the answer is d. -0.09 + πn.