Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

sin²α + cos²α + cot²α is gelijk aan	A. \(\large\boldsymbol{\frac {1} {\sin^2 α} }\)
	B. \(\large\boldsymbol{\frac {1} {\cos^2 α} }\)
	C. \(\large\boldsymbol{\frac {\cos 2α} {2} }\)
	D. \(\large\boldsymbol{\tan \frac {α} {2} }\)
	E. \(\large\boldsymbol{\frac {1} {\tan^2 α} }\)

[ 5-2162 - op net sinds 28.7.12-(E)-4.11.2023 ]

Translation in E N G L I S H

sin²α + cos²α + cot²α is equal to	A. \(\boldsymbol{\frac {1} {\sin^2 α} }\)
	B. \(\boldsymbol{\frac {1} {\cos^2 α} }\)
	C. \(\boldsymbol{\frac {\cos 2α} {2} }\)
	D. \(\boldsymbol{\tan \frac {α} {2} }\)
	E. \(\boldsymbol{\frac {1} {\tan^2 α} }\)

Oplossing - Solution

$\large \color{DarkGreen} { sin^2\alpha +cos^2\alpha +cot^2\alpha =1+cot^2\alpha =\frac{1}{sin^2\alpha } }$

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