tan 2 angle=.6122

Let's call the angle "a".

tan(2a) = 0.6122

Take the arctangent of both sides.

2a = arctan(0.6122)

2a ≈ 31.475º

Divide both sides by 2.

a ≈ 15.737º

Unless you meant:

tan² a = 0.6122

Take the square root of both sides.

tan a = √(0.6122)

Take the arctangent of both sides.

a = arctan[√(0.6122)]

a ≈ 38.041º

tan 2 angle=.6122

\(tan^2\alpha=0.6122\)

\(tan\ \alpha= \sqrt{0.6122}=0.7824321\)

\( \alpha=38°\ 2'\ 7''\)

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