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Welke van volgende formules is de sinusregel in Δ ABC ? (of is er een direct gevolg van ; R = straal omcirkel ; zijden a, b en c staan repectievelijk tegenover de hoeken A, B en C) |
A. \(\boldsymbol{2R = \frac {a} {\sin A} + \frac {b} {\sin B} + \frac {c} {\sin C} }\) |
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| B. \(\boldsymbol{\frac {\sin A} {a} = \frac {\sin B} {b} = \frac {\sin C} {c}=2R }\) | |
| C. \(\boldsymbol{\frac {\sin B} {b} = \frac {\sin C} {c} = \frac {\sin A} {a} = \frac 1{2R} }\) | |
| D. \(\boldsymbol{\frac {a} {\sin A} = \frac {b} {\sin B} = \frac {c} {\sin C} =R}\) | |
| E. \(\boldsymbol{\frac {a^2} {\sin^2 A} = \frac {b^2} {\sin^2 B} = \frac {c^2} {\sin^2 C} } = 2R^2\) |
[ 4-1301-1966 - op net sinds 1.7.97-(E)-6.8.2024 ]
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Which of the following formulas is a direct result of the law of sines ? ( R = radius of the circumcircle; sides a,b,c are opposite to angles A,B en C) |
A. \(\boldsymbol{ 2R =\frac{a}{\sin A}+\frac{b}{\sin B}+\frac{c}{\sin C} }\) |
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| B. \(\boldsymbol{\frac{\sin A}{a}=\frac {\sin B} {b}=\frac {\sin C} {c}=2R }\) | |
| C. \(\boldsymbol{\frac{\sin B}{b}=\frac {\sin C} {c}=\frac {\sin A} {a} = \frac 1{2R} }\) | |
| D. \(\boldsymbol{\frac{a}{\sin A}=\frac {b} {\sin B}=\frac {c} {\sin C} =R}\) | |
| E. \(\boldsymbol{\frac{a^2}{\sin^2 A}=\frac {b^2} {\sin^2 B} = \frac {c^2} {\sin^2 C} } = 2R^2\) |
