Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\inline \large \dpi{120}\text{\textbf{Bgcos}}\left ( -\, \frac{\sqrt 3}{2} \right )=$	A. \(\large\boldsymbol{-\,\frac {4} {12}\,\pi }\)
	B. \(\large\boldsymbol{-\,\frac {2} {12}\,\pi }\)
	C. \(\large\boldsymbol{\frac {2} {12}\,\pi }\)
	D. \(\large\boldsymbol{\frac {9} {12}\,\pi }\)
	E. \(\large\boldsymbol{\frac {10} {12}\,\pi }\)

[ 5-0589 - op net sinds 16.10.16-(E)-21.7.2024 ]

Translation in E N G L I S H

arccos (− ) is equal to	A. \(\boldsymbol{-\,\frac {4} {12}\,\pi }\)
	B. \(\boldsymbol{-\,\frac {2} {12}\,\pi }\)
	C. \(\boldsymbol{\frac {2} {12}\,\pi }\)
	D. \(\boldsymbol{\frac {9} {12}\,\pi }\)
	E. \(\boldsymbol{\frac {10} {12}\,\pi }\)

Oplossing - Solution

1^ste voorwaarde : de hoek moet tussen 0 en π liggen
→ 5op6

5op6

π voldoet eraan
2^de voorwaarde : cos 5op6

5op6

π moet gelijk zijn aan − v3op2

v3op2

→ cos

5op6

π = cos 150° = −cos 30° = − v3op2

v3op2

gricha