Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\inline \LARGE \dpi{120}\frac{\cot(\pi+\alpha).\sin(\frac{\pi}{2}-\alpha)}{\tan(-\alpha).\cos(\pi-\alpha)}=$	A. 1
	B. − 1
	C. cos²α
	D. sin α . cos α
	E. cot²α

[ 5-1899 - op net sinds 4.1.99-(E)-30.10.2023 ]

Oplossing - Solution

$\frac{\cot\left(\pi+\alpha\right)\cdot sin\left(\frac{\pi}{2}-\alpha\right)}{\tan\left(-\alpha\right)\cdot\cos\left(\pi-\alpha\right)}=\frac{\cot\:\alpha\cdot\cos\:\alpha}{-\tan\:\alpha\cdot\left(-\cos\:\alpha\right)}=\frac{\cot\:\alpha}{\tan\:\alpha}=\cdots$