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Aleksandr [31]
2 years ago
5

How do i name the property that justifies this statment ST=QR, then QR= ST

Mathematics
1 answer:
Keith_Richards [23]2 years ago
6 0
Like this, (ST=QR) = (QR=ST)
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What is the exact value of sin 45° ?<br><br>enter your answer, as a simplified fraction.
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Look at the picture.

Use the Pythagorean theorem:

b^2=a^2+a^2\\\\b^2=2a^2\to b=\sqrt{2a^2}\\\\b=\sqrt{a^2}\cdot\sqrt2\\\\b=a\sqrt2

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=45^o,\ opposite=a,\ hypotenuse=a\sqrt2

substitute

\sin45^o=\dfrac{a}{a\sqrt2}=\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2}

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