Is tan((7pi)/6)=(sqrt(3))/3 ?

The answer to whether tan((7pi)/6)=(sqrt(3))/3 is True

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prove tan((7pi)/6)=(sqrt(3))/3

prove

tan (\frac{7 π}{6}) = \frac{3}{3}

True

Solution steps

tan (\frac{7 π}{6}) = \frac{3}{3}

Manipulating left side

tan (\frac{7 π}{6})

Simplify

tan (\frac{7 π}{6}) : \frac{3}{3}

= \frac{3}{3}

We showed that the two sides could take the same form

\Rightarrow True

\frac{1 - cos ^{2} ( x )}{tan ( x )} = sin (x) cos (x)

cot (θ) \cdot sec (θ) = csc (θ)

csc^{2} (x) + cot^{2} (x) = 1 + 2 cot^{2} (x)

csc (x) - \frac{cos ^{2} ( x )}{sin ( x )} = sin (x)

(sin (x) + cos (x))^{2} = 2 cos (x) sin (x) + 1

Is tan((7pi)/6)=(sqrt(3))/3 ?
The answer to whether tan((7pi)/6)=(sqrt(3))/3 is True