The answer is 7, 2(7x5) + 2(4x7) + 2(5x4) = 166
Sin³(x)cos⁴(x) = sin(x)[cos⁴(x) - cos⁶(x)]
sin(x) sin(x)
sin²(x)cos⁴(x) = cos⁴(x) - cos⁶(x)
sin²(x)cos⁴(x) = cos⁴(x)[1] - cos⁴(x)[cos²(x)]
sin²(x)cos⁴(x) = cos⁴(x)[1 - cos²(x)}
cos⁴(x) cos⁴(x)
sin²(x) = 1 - cos²(x)
+ cos²(x) + cos²(x)
1 = 1
Answer:
Step-by-step explanation:
<u>Step 1</u>:-
Given problem is [(x + 1)(x - 1)]^2
by using formula in side square bracket is
![[x^{2} -1]^{2}](https://tex.z-dn.net/?f=%5Bx%5E%7B2%7D%20-1%5D%5E%7B2%7D)
<u>Step 2</u>:- again we will use formula
^{2} = (x^{2}) ^{2} -2 x^{2} (1)+1^{2}](https://tex.z-dn.net/?f=%5Btex%5D%28x%5E2-1%29%5E%7B2%7D%20%3D%20%28x%5E%7B2%7D%29%20%5E%7B2%7D%20-2%20x%5E%7B2%7D%20%20%281%29%2B1%5E%7B2%7D)
[/tex]
on simplification we get
<u>Final answer:-</u>
<u />
(2, 0°) is already in polar coordinates, with the smallest possible angle. The radius is 2, always 2. Expressions with variations of the angle are also good representations of (2, 0°) if their angles are all integer multiples of 360 degrees. For example: (2, 720°) represents the same point in polar coordinates as does (2, 0°).
53) Vertical angles are congruent, so 
54) 
and 
are supplementary, so 
55) Because vertical angles are congruent, 
. Now, because DR bisects 
, this means 
56) This is a geometric sequence where the next term is obtained by multiplying the previous term by -2, so the next two numbers are 16, -32
