Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac {1+\tan^2x} {1+\cot^2x}$ is gelijk aan	A. tan²x
	B. cot²x
	C. 1
	D. tan x
	E. − tan²x

[ 4-7074 - op net sinds 4.5.15-(E)-30.10.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac {1+\tan^2x} {1+\cot^2x}$ is equal to	A. tan²x
	B. cot²x
	C. 1
	D. tan x
	E. − tan²x

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}{\color{DarkGreen}\frac {1+\tan^2x} {1+\cot^2x} =\frac{\frac{1}{\cos^2x}}{\frac{1}{\sin^2x}}=\frac{\sin^2x}{\cos^2x}=\tan^2x }$