Get sinus of an angle from a distance x and two circumferences of different radius












0












$begingroup$


How is possible to get these formulas of sinus from this image?



https://imgur.com/a/8MqyRFb



I have been trying different things but they didn't work out.










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  • 1




    $begingroup$
    Draw radius that connects circle centre with the point where line is tangent to the circle.
    $endgroup$
    – Matteo
    Jan 19 at 19:08










  • $begingroup$
    @Matteo Use the fact that they are perpendicular.
    $endgroup$
    – hamam_Abdallah
    Jan 19 at 19:11










  • $begingroup$
    Thanks to both!
    $endgroup$
    – DeFabregas
    Jan 19 at 19:53
















0












$begingroup$


How is possible to get these formulas of sinus from this image?



https://imgur.com/a/8MqyRFb



I have been trying different things but they didn't work out.










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    Draw radius that connects circle centre with the point where line is tangent to the circle.
    $endgroup$
    – Matteo
    Jan 19 at 19:08










  • $begingroup$
    @Matteo Use the fact that they are perpendicular.
    $endgroup$
    – hamam_Abdallah
    Jan 19 at 19:11










  • $begingroup$
    Thanks to both!
    $endgroup$
    – DeFabregas
    Jan 19 at 19:53














0












0








0





$begingroup$


How is possible to get these formulas of sinus from this image?



https://imgur.com/a/8MqyRFb



I have been trying different things but they didn't work out.










share|cite|improve this question









$endgroup$




How is possible to get these formulas of sinus from this image?



https://imgur.com/a/8MqyRFb



I have been trying different things but they didn't work out.







trigonometry






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 19 at 19:02









DeFabregasDeFabregas

12




12








  • 1




    $begingroup$
    Draw radius that connects circle centre with the point where line is tangent to the circle.
    $endgroup$
    – Matteo
    Jan 19 at 19:08










  • $begingroup$
    @Matteo Use the fact that they are perpendicular.
    $endgroup$
    – hamam_Abdallah
    Jan 19 at 19:11










  • $begingroup$
    Thanks to both!
    $endgroup$
    – DeFabregas
    Jan 19 at 19:53














  • 1




    $begingroup$
    Draw radius that connects circle centre with the point where line is tangent to the circle.
    $endgroup$
    – Matteo
    Jan 19 at 19:08










  • $begingroup$
    @Matteo Use the fact that they are perpendicular.
    $endgroup$
    – hamam_Abdallah
    Jan 19 at 19:11










  • $begingroup$
    Thanks to both!
    $endgroup$
    – DeFabregas
    Jan 19 at 19:53








1




1




$begingroup$
Draw radius that connects circle centre with the point where line is tangent to the circle.
$endgroup$
– Matteo
Jan 19 at 19:08




$begingroup$
Draw radius that connects circle centre with the point where line is tangent to the circle.
$endgroup$
– Matteo
Jan 19 at 19:08












$begingroup$
@Matteo Use the fact that they are perpendicular.
$endgroup$
– hamam_Abdallah
Jan 19 at 19:11




$begingroup$
@Matteo Use the fact that they are perpendicular.
$endgroup$
– hamam_Abdallah
Jan 19 at 19:11












$begingroup$
Thanks to both!
$endgroup$
– DeFabregas
Jan 19 at 19:53




$begingroup$
Thanks to both!
$endgroup$
– DeFabregas
Jan 19 at 19:53










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