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$\tan x = 1$

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Solve logarithmic equations with one logarithm

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Q.

\tan x = 1

Given Equation: We are given the trigonometric equation $\text{tg}x = 1$ , which means we are looking for the angle $x$ for which the tangent is equal to $1$ . To solve for $x$ , we need to find the angle whose tangent value is $1$ . The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side. We know that the tangent of $45$ degrees (or $\pi/4$ radians) is $1$ because in an isosceles right triangle, the opposite and adjacent sides are equal, making their ratio $1$ . Therefore, $x = 45$ degrees or $x$ $0$ radians.

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