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billalex806 billalex806
  • 22-06-2020
  • Mathematics
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if teta is an angle in right angle triangle if tan teta = 3/4 then find sin teta? ​

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Lightx
Lightx Lightx
  • 22-06-2020

Answer:

[tex] \frac{3}{5}[/tex]

Step-by-step explanation:

The adjacent sides are 3 and 4. Thus the hypotenuse is: (by Pythagoras Theorem)

$=\sqrt{3^2+4^2}$

$=\sqrt{25}$

$=5$

Now by definition of $\sin$, we get:

$\sin \theta= \frac{\text{opposite}}{\text{hypotenuse}}=\frac{3}{5}$

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