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How do you write the equation #-4/3=tanx# in the form of an inverse function?

Answer 1

Grace Ashcraft

Please see below.

#tan a = b# if and only of #a = tan^-1(b) + pik# for some integer #k#.

#x = tan^-1(-4/3) + pik# for integer #k#

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Answer 2

Grace Ashcraft

See other answer.

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Answer 3

James Adkins

To write the equation -4/3 = tan(x) in terms of an inverse function, use the arctan function, also known as the inverse tangent function. The inverse tangent function is denoted as arctan or tan^(-1).

So, taking the arctan of both sides of the equation, you get:

arctan(-4/3) = arctan(tan(x))

Therefore, the equation in terms of the inverse function is:

x = arctan(-4/3)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.