Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Welk getal is het kleinste van de vijf ?	A. sin² 60°
B. cos² 60°
C. tan² 60°
D. cos² 45°
E. tan² 30°

Which number is the smallest ?	A. sin² 60°
	B. cos² 60°
	C. tan² 60°
	D. cos² 45°
	E. tan² 30°

$\\\sin^2 60^\circ=\left(\frac{\sqrt3}{2}\right)^2=\frac34\\\cos^2 60^\circ=\left(\frac{1}{2}\right)=\frac14\\\tan^2 60^\circ=\left(\sqrt3\right)^2=\frac24=\frac12\\\cos^2 45^\circ=\left(\frac{\sqrt2}{2}\right)^2=\frac24=\frac12\\\tan^2 30^\circ=\left(\frac{\sqrt3}{3}\right)^2\frac39=\frac13\\\tan^2 30^\circ=\left(\frac{\sqrt3}{3}\right)=\frac39=\frac13$