Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1+\cot 7^\circ}{1+\tan 7^\circ}$ is gelijk aan	A. 1
	B. tan 7°
	C. tan²7°
	D. cot 7°
	E. cot² 7°

[ 4-4216 - op net sinds 22.7.12-(E)-30.10.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1+\cot 7^\circ}{1+\tan 7^\circ}$ is equal to	A. 1
	B. tan 7°
	C. tan²7°
	D. cot 7°
	E. cot² 7°

Oplossing - Solution

$\frac{1+\cot\:7^{\circ}}{1+\tan\:7^{\circ}}=\frac{1+\cot\:7^{\circ}}{1+\frac{1}{\cot\:7^{\circ}}}=\frac{1+\cot\:7^{\circ}}{\frac{\cot\:7^{\circ}+1}{\cot\:7^{\circ}}}=(1+\cot\:7^{\circ})\cdot\frac{\cot\:7^{\circ}}{1+\cot\:7^{\circ}}=\cdots$