312,326 views
16 votes
16 votes
If cos(x)=11/20 and x is in quadrant I, what is sin(2x)

User Dizzyf
by
2.9k points

1 Answer

18 votes
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)

User Dezi
by
2.8k points
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