cos(2π/15) cos(4π/15) cos(8π/15) cos(14π/15) <span>
= cos(2π/15) cos(4π/15) cos(8π/15) cos(π – (π/15))
= cos(2π/15) cos(4π/15) cos(8π/15) * -cos(π/15)
= -cos(π/15) cos(2π/15) cos(4π/15) cos(8π/15)
= -16sin(π/15) cos(π/15) cos(2π/15) cos(4π/15) cos(8π/15) / [
16 sin(π/15) ]
= -8 * [ 2sin(π/15) cos(π/15) ] cos(2π/15) cos(4π/15)
cos(8π/15) / [ 16 sin(π/15) ]
= -8 sin(2π/15) cos(2π/15) cos(4π/15) cos(8π/15) / [ 16
sin(π/15) ]
= -4 * [ 2 sin(2π/15) cos(2π/15) ] cos(4π/15) cos(8π/15) / [
16 sin(π/15) ]
= -4 sin(4π/15) cos(4π/15) cos(8π/15) / [ 16 sin(π/15) ]
= -2 * [2 sin(4π/15) cos(4π/15) ] cos(8π/15) / [ 16 sin(π/15)
]
= -2 sin(8π/15) cos(8π/15) / [ 16 sin(π/15) ]
= -sin(16π/15) / [ 16 sin(π/15) ]
= -sin(π + π/15) / [ 16 sin(π/15) ]
= -1 * -sin(π/15) / [ 16 sin(π/15) ]
<span>= 1/16</span></span>
Answer:
number 5
Step-by-step explanation:
To solve the inequality -25 > -5(x + 2.5), first multiply -5 by the number and variable in the parentheses.
-25 > -5x - 12.5
Now add 12.5 to both sides of the equation.
-25 + 12.5 > -5x - 12.5 + 12.5
-12.5 > -5x
Now divide -12.5 by -5 to get the answer.
-12.5 ÷ -5 is 2.5
You would think the final answer is 2.5 > x, but that is not true because -5 is negative and when a negative number is divided to both sides of an inequality, the sign gets flipped.
So, the real answer is 2.5 < x, or x > 2.5.
Answer
Step-by-step explanation:
The answer is kinda hard and easy so I will explain how to do it but not answer. So first you divide 105 by 7 to get the number of pounds of food per snake. Then you times it by 3 for 3 snakes, by 5 for 5 snakes, and by 10 for ten snakes. At least that is what I think. Hope this helped!!