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  • 25-05-2022
  • Mathematics
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Find sin 2x if cos x=-2/3 and x is in quadrant 2

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Аноним Аноним
  • 25-05-2022

Answer:

-4√5/9.

Step-by-step explanation:

if cos x = -2/3 then sin x = √(1 - (-2/3)^2)

= √(5/9)

= √5/3.

(As x is in quadrant 2 sin x is positive).

So:

sin2x = 2 sin x cos x

         = 2 * √5/3 * -2/3

          =  -4/3 * √5/3

          =  -4√5/9.

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