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kondor19780726 [428]
3 years ago
15

Find the exact value of sin A in simplest radical form.​

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

Using the law of sines, we have

\dfrac{AB}{\sin(C)}=\dfrac{BC}{\sin(A)}

And we know that

AB=\sqrt{85},\quad BC=6,\quad A=90

So, the equation becomes

\sin(A)=\dfrac{BC\sin(C)}{AB}=\dfrac{6\sin(90)}{\sqrt{85}}=\dfrac{6}{\sqrt{85}}

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