Question

find the missing value to the nearest hundredth Tan ___ = 73

I just don't get these!

Answer 1

You want to find the angle θ such that

tanθ = 73

Another way of writing that is by using the inverse function

θ = arctan 73
or
θ = tan^-173

Just as you need a calculator or a table to find tan 25°, you need a calculator or table of arctan to find arctan 73

arctan(73) = 89.21°


tan is just another operator, like + or - or * or √. It has an inverse:

- or + or / or sup>2</sup> or arctan.

If someone asked

3 * ___ = 12

you find the answer by using the inverse operation:

___ = 12/3

Same with sin cos tan, etc. Use the inverse operation.

Answer 2

89.22

Answer 3

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