Is tan((5pi)/6)=tan((11pi)/6) ?

The answer to whether tan((5pi)/6)=tan((11pi)/6) is True

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prove tan((5pi)/6)=tan((11pi)/6)

prove

tan (\frac{5 π}{6}) = tan (\frac{11 π}{6})

True

Solution steps

tan (\frac{5 π}{6}) = tan (\frac{11 π}{6})

Manipulating left side

tan (\frac{5 π}{6})

Simplify

tan (\frac{5 π}{6}) : - \frac{3}{3}

= - \frac{3}{3}

Manipulating right side

tan (\frac{11 π}{6})

Simplify

tan (\frac{11 π}{6}) : - \frac{3}{3}

= - \frac{3}{3}

We showed that the two sides could take the same form

\Rightarrow True

2 sec (x) = 2 + 2 tan (x)

3 sec^{2} (x) = \frac{3}{cos ^{2} ( x )}

sin^{2} (θ) (1 + cos^{2} (θ)) = 1

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

3 csc (x) - 2 = 0

Is tan((5pi)/6)=tan((11pi)/6) ?
The answer to whether tan((5pi)/6)=tan((11pi)/6) is True