205k views
1 vote
What's 2(tan x -sqrt3)=2. I need it in radians or degrees, not a weird decimal like 1.2199.

User Han Zhao
by
9.1k points

1 Answer

6 votes

Answer: Starting with 2(tan x - sqrt(3)) = 2:

First, divide both sides of the equation by 2 to simplify:

tan x - sqrt(3) = 1

Next, add sqrt(3) to both sides:

tan x = 1 + sqrt(3)

To solve for x, we need to take the arctan of both sides:

x = arctan(1 + sqrt(3))

In degrees, this is:

x = 75 degrees

In radians, this is:

x = 5π/12 radians

Explanation:

User Marc Le Bihan
by
8.5k points

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