Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1+\tan7^\circ}{1+\cot7^\circ}=$	A. 1
	B. tan 7°
	C. tan² 7°
	D. cot 7°
	E. cot² 7°

[ 4-3115 - op net sinds 25.11.01-(E)-30.10.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1+\tan7^\circ}{1+\cot7^\circ}=$	A. 1
	B. tan 7°
	C. tan² 7°
	D. cot 7°
	E. cot² 7°

Oplossing - Solution

$\frac{1+\tan 7^\circ }{1+\cot 7^\circ }= \frac{1+\tan 7^\circ }{1+\frac{1}{\tan 7^\circ} }= \frac{1+\tan 7^\circ }{\frac{\tan 7^\circ+1}{\tan 7^\circ}}=\tan 7^\circ$