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Mathematics 11 Online
lowkey:

Math whizzes hello!

lowkey:

solve with trig identities 4+3tanx=2

lowkey:

@dude @Tranquility @hero @vocaloid @shadow

Hero:

Why use trig ids to solve it when you can just use algebra. Isolate tan(x). Then apply arctan to both sides. Remember, in general if \(\tan(x) = -a\), then \(x = \arctan(-a) + n\pi\)

lowkey:

Nvm how do you solve this

lowkey:

Apparently it's no solution

Hero:

There's a solution.

Hero:

But to solve it begin by subtracting 4 from both sides.

Hero:

Simplify then divide both sides by 2 to isolate tan(x)

Hero:

Then apply arctan on both sides to isolate x

Hero:

The goal is to Isolate tan(x). Then apply the arctan rule which states: if \(\tan(x) = -a\), then \(x = \arctan(-a) + n\pi\)

Tranquility:

Correction: you have to divide both sides by 3 after you subtract 4 from both sides

Hero:

I hope that's what she did.

lowkey:

arc tan= inverse tan?

Hero:

Yes

Tranquility:

\(\arctan(x)\) is another way to write \(\tan^{-1}(x)\)

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