Question

Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.

Answer 1

Answer:

1st triangle:

sin(C): 0.64, $\frac{16}{25}$

cos(C): 0.8, $\frac{4}{5}$

Second triangle:

sin(C): 0.75, $\frac{\sqrt{5} }{3}$

cos(C): 0.67, $\frac{2}{3}$

Step-by-step explanation:

Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.

To find the cos of an angle, it's adjacent/hypotenuse.

In the 1st triangle:

The adjacent to C is 16, the hypotenuse is 25.

$\frac{16}{25} = 0.64$ is the sin of C.

The adjacent to C is 20, and the hypotenuse is 25.

$\frac{20}{25} = 0.8$ is the cos of C.

In the second triangle:

The opposite to C is $\sqrt{5}$ and the hypotenuse is 2.

$\frac{\sqrt{5} }{2} \approx0.75$ is the sin of C.

The adjacent to C is 2 and the hypotenuse is 3.

$\frac{2}{3} \approx 0.67$ is the cos of C.

Hope this helped!

Answer 2

0.64 because it makes the most sense to me well because I looked it up too