Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

tan $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\tan\left ( \textbf{Bgtan}\, \frac 12+ \textbf{Bgtan} \, \frac 13 \right )$ is gelijk aan	A. $1$
	B. $\frac16$
	C. $\frac17$
	D. $\frac56$
	E. $\frac57$

[ 5-6185 - op net sinds 8.5.13-(E)-13.7.2024 ]

Translation in E N G L I S H

What is the value of tan( arctan() + arctan() ) ?	A. $1$
	B. $\frac16$
	C. $\frac17$
	D. $\frac56$
	E. $\frac57$

Oplossing - Solution

$\\\tan\left(Bgtan\frac12+Bgtan\frac13\right)=\frac{\tan\left(Bgtan\frac12\right)+\tan\left(Bgtan\frac13\right)}{1-\tan\left(Bgtan\frac12\right).\tan\left(Bgtan\frac13\right)}\\.\qquad\qquad\qquad\qquad\qquad\quad=\frac{\frac12+\frac13}{1-\frac12.\frac13}=\frac{\frac56}{\frac56}=1$

tan $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\tan\left ( \textbf{Bgtan}\, \frac 12+ \textbf{Bgtan} \, \frac 13 \right )$ is gelijk aan	A. \(1\)
	B. \(\frac16\)
	C. \(\frac17\)
	D. \(\frac56\)
	E. \(\frac57\)

What is the value of tan( arctan() + arctan() ) ?	A. \(1\)
	B. \(\frac16\)
	C. \(\frac17\)
	D. \(\frac56\)
	E. \(\frac57\)