Question

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

Answer 1

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