Similarity quiz 2 please answer

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sarahelisabeth444

18.03.2022

Mathematics

Let δabc be a right triangle with legs ab=8, bc=6 and ∠bca=x, ∠bac=y. by pythagorean theorem $ac^2=ab^2+bc^2=8^2+6^2=100$ , then ac=10. $\cos x= \frac{bc}{ac}= \frac{6}{10} =0.6$ $\sin x= \frac{ab}{ac}= \frac{8}{10}=0.8$ $\cos y= \frac{bc}{ac} = \frac{6}{10} =0.6$ $\sin y= \frac{ab}{ac}= \frac{8}{10} =0.8$ as you can see $\sin x=\cos y$ and $\cos x=\sin y$ .

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