Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{0+\sin\alpha +\sin 2\alpha}{1+\cos\alpha +\cos 2\alpha}=$	A. sin α
	B. cos α
	C. tan α
	D. cot α
	E. sec α

[ 4-8478 - op net sinds 3.5.2020-(E)-12.1.2024 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{0+\sin\alpha +\sin 2\alpha}{1+\cos\alpha +\cos 2\alpha}=$	A. sin α
	B. cos α
	C. tan α
	D. cot α
	E. sec α

Oplossing - Solution

$\frac{0+\sin\alpha+\sin 2\alpha}{1+\cos\alpha+\cos 2\alpha}=\frac{\sin\alpha+2.\sin\alpha.\cos\alpha}{\cos\alpha+2\cos^2\alpha}=\frac{\sin\alpha.(1+2.\cos\alpha)}{\cos\alpha.(1+2.\cos\alpha)}=\cdots$