Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

cot³ 300° is gelijk aan	A. $\boldsymbol{\frac {\sqrt 3 } {9} }$
	B. $\text{een rationaal getal}$
	C. $\boldsymbol{-\sqrt 3}$
	D. $\boldsymbol{-\,\frac {\sqrt 3} {3} }$
	E. $\boldsymbol{-\,\frac {\sqrt 3} {9} }$

[ 4-3752 - op net sinds 14.10.12-(E)-30.10.2023 ]

Translation in E N G L I S H

cot³ 300° is equal to	A. $\boldsymbol{\frac {\sqrt 3 } {9} }$
	B. $\text{a rational number}$
	C. $\boldsymbol{-\sqrt 3}$
	D. $\boldsymbol{-\,\frac {\sqrt 3} {3} }$
	E. $\boldsymbol{-\,\frac {\sqrt 3} {9} }$

Oplossing - Solution

$\cot 300^{\circ}=\cot (300^\circ-360^{\circ})=\cot(-60^{\circ})=-\cot 60^{\circ}=-\, \frac{\sqrt 3}{3}\\\Rightarrow \; \cot^3300^{\circ} =\left ( -\, \frac{\sqrt 3}{3} \right )^3=-\frac{3\sqrt{3}}{3^3}=-\, \frac{\sqrt{3}}{3^2}=\cdots$

cot³ 300° is gelijk aan	A. \(\boldsymbol{\frac {\sqrt 3 } {9} }\)
	B. \(\text{een rationaal getal}\)
	C. \(\boldsymbol{-\sqrt 3}\)
	D. \(\boldsymbol{-\,\frac {\sqrt 3} {3} }\)
	E. \(\boldsymbol{-\,\frac {\sqrt 3} {9} }\)

cot³ 300° is equal to	A. \(\boldsymbol{\frac {\sqrt 3 } {9} }\)
	B. \(\text{a rational number}\)
	C. \(\boldsymbol{-\sqrt 3}\)
	D. \(\boldsymbol{-\,\frac {\sqrt 3} {3} }\)
	E. \(\boldsymbol{-\,\frac {\sqrt 3} {9} }\)