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matrenka [14]
3 years ago
5

Given: sin = 4/5 and cos x = -5/13 ; evaluate the following expression. Cos 2x

Mathematics
1 answer:
Nitella [24]3 years ago
5 0

For every possible angle x, the fundamental law of trigonometric states that

\sin^2(x)+\cos^2(x) = 1

In your case, the inputs you provided would lead to

\dfrac{16}{25}+\dfrac{25}{169} = \dfrac{3329}{4225} \approx 0.8 \neq 1

So, it is not possible that, for a certain angle x, we have

\sin(x) = \dfrac{4}{5},\quad \cos(x) = -\dfrac{5}{13}

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