Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\tan x + \cot x =$ _{(x geen veelvoud van 90°)}	A. \(\boldsymbol{1}\)
	B. \(\large\boldsymbol{\frac {2} {\sin 2x} } \)
	C. \(\large\boldsymbol{\frac {2} {\cos 2x} } \)
	D. \(\large\boldsymbol{\frac {1} {2\,\sin 2x} } \)
	E. \( \boldsymbol{0} \)

[ 5-2176 - op net sinds 22.1.2020-(E)-29.1.2024 ]

Translation in E N G L I S H

tan x + cot x =

Oplossing - Solution

$\tan x+\cot x=\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}=\frac{\sin^2 x+\cos^2 x}{\sin x.\cos x}=\frac{1}{\sin x.\cos x}=\frac{2}{\sin{2x}}$

GWB