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question:
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if tanx=.7773
what is x

it would be if you put an explanation as to how you got it.
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37.8579

This value is approximate and rounded to four decimal places

Explanation:

The tangent function is being applied to some unknown angle x. To isolate x, we undo whatever tangent is doing. So we apply the inverse function. Specifically the inverse tangent function. This is also known as "arctangent" and your calculator most likely shows it as a button with a "-1" exponent above the "tan"

So apply the arctangent to both sides to get

tan(x) = 0.7773

arctan(tan(x)) = arctan(0.7773)

x = 37.8579

My calculator is in degree mode.

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step-by-step explanation: