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

The limit as θ approaches (5pi)/6 of cos(θ) is -(sqrt(3))/2

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limit as θ approaches (5pi)/6 of cos(θ)

θ \to \frac{5 π}{6} lim (cos (θ))

- \frac{3}{2}

Decimal Notation

- 0.86602 \dots

Solution steps

θ \to \frac{5 π}{6} lim (cos (θ))

Plug in the value

θ = \frac{5 π}{6}

= cos (\frac{5 π}{6})

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= - \frac{3}{2}

x \to 1 + lim (12 ∣ 2 x - 1 ∣ + a)

x \to 0 lim (x^{2} + 4 - 2)

x \to 4 lim (\frac{5 x - 20}{x ^{2} - 7 x + 12})

x \to - 3 lim (\frac{x ^{3} + x ^{2} - 21 x - 45}{x ^{3} + 7 x ^{2} + 15 x + 9})

x \to - 1 lim (\frac{2 x + 1}{x + 1})

What is the limit as θ approaches (5pi)/6 of cos(θ) ?
The limit as θ approaches (5pi)/6 of cos(θ) is -(sqrt(3))/2