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:
3,400 ml
Step-by-step explanation:
Conversion factor: 1000
2) mL = L * 1000
3) mL = 3.4 * 1000
4) mL = 3400
Answer:
11 cans of cat food...........
Step-by-step explanation:
£0.79 x 11 = £8.69
£8.69 - £2 = 6.69
Answer:
If you center the series at x=1

Where
is the error.
Step-by-step explanation:
From the information given we know that

(This comes from the chain rule )
(This comes from the chain rule and the product rule)
(This comes from the chain rule and the product rule)
If you center the series at x=1 then

Where
is the error.