Given:
cos 120°
To find:
The exact value of cos 120° in simplest form with a rational denominator.
Solution:
We have,

It can be written as

![[\because \cos (90^\circ-\theta)=-\sin \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%2890%5E%5Ccirc-%5Ctheta%29%3D-%5Csin%20%5Ctheta%5D)
![[\because \sin 30^\circ=\dfrac{1}{2}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%2030%5E%5Ccirc%3D%5Cdfrac%7B1%7D%7B2%7D%5D)

Therefore, the exact value of cos 120° is
.
Answer:
43/8
Step-by-step explanation:
5 x 8 = 40
40 + 3 =43
Answer:
16
Step-by-step explanation:
=
multiplied by 
so
= 16
Answer:
The probability of drawing three red marbles is 1/27, or about 3.71%
Step-by-step explanation:
Add all the marbles:
5 + 4 + 6 = 15
Find favourable outcomes:
5
The probability for drawing a red marble is:
5/15 or 1/3
Multiply this ×3 to find the probability of drawing three red marbles.
1/3 × 1/3 × 1/3 = 1/27
1 ÷ 27 = 0.0370370370 ... repeating