If cos(x)=11/20 and x is in quadrant I, what is sin(2x)

Dizzyf asked Dec 1, 2023

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Dizzyf asked Dec 1, 2023

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18 votes

Answer:

(33√(31))/(200)

Explanation:

$\cos x=(11)/(20) \implies \sin x=√(1-(11/20)^2)=(3√(31))/(20) \\ \\ \sin 2x=2\sin x \cos x =2 \cdot (3√(31))/(20) \cdot (11)/(20) =(33√(31))/(200)$

Dezi answered Dec 6, 2023

by Dezi

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