Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
sin²Θ = 1 - cos²Θ , cos²Θ = 1 - sin²Θ
Consider the left side
(sinΘ + cosΘ)(1 - sinΘcosΘ) ← distribute
= sinΘ(1 - sinΘcosΘ) + cosΘ(1 - sinΘcosΘ)
= sinΘ - sin²ΘcosΘ + cosΘ - sinΘcos²Θ
= sinΘ - (1 - cos²Θ)cosΘ + cosΘ - sinΘ(1 - sin²Θ)
= sinΘ - cosΘ + cos³Θ + cosΘ - sinΘ + sin³Θ ← collect like terms
= sin³Θ + cos³Θ
= right side ⇒ proven
1 gallon = 128 fluid ounces
25 cups x 12 ounces = 300 total ounces needed
300 / 128 = 2.34 gallons needed
he will need to buy C. 3 bottles
Answer:
Then the determinant is 0.
Step-by-step explanation:
Determinant of ( 1 2 ) = 1*2 - 2*1 = 0
( 1 2 )
Ways to make 10:
Dice 1 and dice 2
4 and 6
5 and 5
5 and 5
6 and 4
6 x 6 is 36 possibilities
4/36 = 1/9