Answer: 2sin(θ)
Step-by-step explanation: (1 − cos2(theta)) csc(theta)
cos (2θ) = cos²(θ) - sin²(θ) ⇒ [(1 - cos²(θ) + sin²(θ)]* csc (θ)
Multiplying csc(θ) - cos²(θ)*csc(θ) + sin²(θ)*csc(θ)
csc (θ) = 1 ÷ sin (θ) ⇒ 1/sin(θ) - cos²(θ)/sin(θ) + sin²(θ)/sin(θ)
1/sin(θ) [ 1 -cos²(θ) + sin²(θ)] ⇒ 1- cos²(θ) = sin²θ)
1/sin(θ) [ sin²(θ) +sin²(θ) ]
1/sin(θ) [ 2* sin²(θ) ] = 2sin(θ)
Answer:
16 fluid ounces
Step-by-step explanation:
Mario buys 8 containers of soup.
Each container has 18 fluid ounces.
In other words, there are a total of:

144 fluid ounces.
Each of the 9 people got the same amount of soup. In other words, divided equally, each person got:

16 fluid ounces of soup.
And we're done!
Answer: Transitive property of congruence
3x+12x=45
15x=45
x=3
the first chemical is 3*3 or 9 L
the second chemical is 12*3 = 36 L