tacent61 tacent61

24-05-2019
Mathematics

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if sin o = 2/3 and tan < 0 what is the valuse of cos 0

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sqdancefan sqdancefan

24-05-2019

Answer:

-(√5)/3

Step-by-step explanation:

The tangent being negative means the sine and cosine have opposite signs. Using the identity ...

cos(o) = ±√(1 -sin(o)^2)

we find ...

cos(o) = -√(1 -(2/3)^2) = -√(5/9)

cos(o) = -(√5)/3

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