Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
Answer: Numbers of servings: 10 and 13, Liters of punch: 14
Step-by-step explanation:
Number of servings - 6 = Liters of punch.
You could directly add 6+4 which gives you the answer as well... M=10
Answer:
n = 18
Step-by-step explanation:
The formula for angle sum of a polygon is S = 180 (n - 2), where S is the sum and n is the sides.
We are given that the sum is 2880, and are trying to find n.
Simply sub in S = 2880,
2880 = 180 (n - 2)
Divide by 180 to get (n - 2) by themselves on the right side,
16 = n - 2
Now add 2 to the other side to get n by itself
18 = n
n = 18
Hope this helped!! Please feel free to ask me if there's anything you don't understand from this working
