If , , and , then find…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If

\frac{\tan x}{2}=\frac{\tan y}{3}=\frac{\tan z}{5}

,

x+y+z=\pi

, and

\tan^2x+\tan^2y+\tan^2z=\frac{38}{k}

, then find

k

.

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