What is the limit as x approaches (5pi)/6 of (sin(x))/(cos(x)) ?

The limit as x approaches (5pi)/6 of (sin(x))/(cos(x)) is -1/(sqrt(3))

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limit as x approaches (5pi)/6 of (sin(x))/(cos(x))

x \to \frac{5 π}{6} lim (\frac{sin ( x )}{cos ( x )})

- \frac{1}{3}

Decimal

- 0.57735 \dots

Solution steps

x \to \frac{5 π}{6} lim (\frac{sin ( x )}{cos ( x )})

Plug in the value

x = \frac{5 π}{6}

= \frac{sin ( \frac{5 π}{6} )}{cos ( \frac{5 π}{6} )}

Simplify

\frac{sin ( \frac{5 π}{6} )}{cos ( \frac{5 π}{6} )} : - \frac{1}{3}

= - \frac{1}{3}

(2.1) (- 14.7)

640 (1.06)^{t}

f (x) = 2 x^{2} - 32

f (t) = 5 + 4 \cdot δ (t)

\frac{d}{d x} (ln (1 + sin (x)))

What is the limit as x approaches (5pi)/6 of (sin(x))/(cos(x)) ?
The limit as x approaches (5pi)/6 of (sin(x))/(cos(x)) is -1/(sqrt(3))