Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{\cos^2\alpha -\sin^2\alpha }{1-\tan^2\alpha }$ kan vereenvoudigd worden tot	A. cos² α
	B. sec²α
	C. tan²α
	D. 1 − tan²α
	E. sin²α (1 − tan²α )

[ 4,5-6178 - op net sinds 6.12.14-(E)-30.10.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{\cos^2\alpha -\sin^2\alpha }{1-\tan^2\alpha }$ can be simplified to	A. cos² α
	B. sec²α
	C. tan²α
	D. 1 − tan²α
	E. sin²α (1 − tan²α )

Oplossing - Solution

$\\ \frac{\cos ^2\alpha -\sin ^2\alpha }{\frac{\cos ^2\alpha -\sin ^2\alpha}{\cos ^2\alpha }}=\cos ^2\alpha \\ net \; \; zoals\; \; \frac{a}{\frac ab}=b$