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Korvikt [17]
2 years ago
13

If sin 0=3/5, then cos 0=

Mathematics
1 answer:
vaieri [72.5K]2 years ago
7 0

Answer:

\frac{4}{5}

Step-by-step explanation:

Given

sinΘ = \frac{3}{5} = \frac{opposite}{hypotenuse}

Then the hypotenuse = 5 and one leg of the right triangle is 3

Using Pythagoras' identity to find the second leg (x)

x² + 3² = 5²

x² + 9 = 25 ( subtract 9 from both sides )

x² = 16 ⇒ x = 4

cosΘ = \frac{adjacent}{hypotenuse} = \frac{4}{5}

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