Question

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

Answer 1

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

Answer 2

1st triangle:

sin(C): 0.64,
`(16)/(25)`

cos(C): 0.8,
`(4)/(5)`

Second triangle:

sin(C): 0.75,
`(√(5) )/(3)`

cos(C): 0.67,
`(2)/(3)`

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.

`(16)/(25) = 0.64` is the sin of C.

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

`(20)/(25) = 0.8` is the cos of C.

In the second triangle:

The opposite to C is
`√(5)` and the hypotenuse is 2.

`(√(5) )/(2) \approx0.75` is the sin of C.

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

`(2)/(3) \approx 0.67` is the cos of C.

Hope this helped!