What is the value of -sec((11pi)/6)tan((11pi)/6) ?

The value of -sec((11pi)/6)tan((11pi)/6) is 2/3

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-sec((11pi)/6)tan((11pi)/6)

- sec (\frac{11 π}{6}) tan (\frac{11 π}{6})

\frac{2}{3}

Solution steps

- sec (\frac{11 π}{6}) tan (\frac{11 π}{6})

Rewrite using trig identities:

sec (\frac{11 π}{6}) = \frac{2 3}{3}

Rewrite using trig identities:

tan (\frac{11 π}{6}) = - \frac{3}{3}

= - \frac{2 3}{3} (- \frac{3}{3})

Simplify

- \frac{2 3}{3} (- \frac{3}{3}) : \frac{2}{3}

= \frac{2}{3}

\frac{7}{cos ( 3 5 ^{\circ} )}

22 cos (\frac{π}{6})

arccos (0.141)

42 cos (4 5^{\circ})

arccos (\frac{6}{86})

What is the value of -sec((11pi)/6)tan((11pi)/6) ?
The value of -sec((11pi)/6)tan((11pi)/6) is 2/3