Question
Asked Jun 19, 2019
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Hello, 

I need help understanding how to form a general formula, using f(x)=5 tan x, for all the solutions to f(x)=-5 by using angle(s) in the interval [0,pi) and adding multiples of some integer k. I do not know how to input -5 into 5 tan x, or how to begin. 

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Expert Answer

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Step 1

Consider the provided function.

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f(x) 5 tanx and f(x)= -5

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Step 2

The above information can be written as:

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-5 5 tan x -1 tan x

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Step 3

The provided interval is [0, ). The value of tan 1350 = -1 because tan 1350 is lying on 2nd quadrant where tan x is negative.

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tan x 1 tan x tan or tan 135° 2 4 tan x tan or tan 135° 4

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