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Sagot :

[tex]cos(a) = 0,6[/tex]

[tex]cos^2(a) + sin^2(a) = 1[/tex]

[tex]sin^2(a) = 1 - cos^2(a) [/tex]

[tex]sin^2(a) = 1 - 0,6^2[/tex]

[tex]sin^2(a) = 1 - \frac{6^2}{10^2}[/tex]

[tex]sin^2(a) = \frac{100}{100} - \frac{36}{100}[/tex]

[tex]sin^2(a) = \frac{64}{100}[/tex]

[tex]sin(a) = \frac{\sqrt{64}}{\sqrt{100}}[/tex]

[tex]sin(a) = \frac{8}{10} = \frac{4}{5} = 0,8[/tex]

En espérant t'avoir aidé.

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