Answer:
Yes
Step-by-step explanation:
Absolute value means distance from 0 (which is always positive), so if the number inside is negative you take the opposite.
|-217| = 217
|203| = 203
217 > 203
The given complex number is
z = 1 + cos(2θ) + i sin(2θ), for -1/2π < θ < 1/2π
Part (i)
Let V = the modulus of z.
Then
V² = [1 + cos(2θ)]² + sin²(2θ)
= 1 + 2 cos(2θ) + cos²2θ + sin²2θ
Because sin²x + cos²x = 1, therefore
V² = 2(1 + cos2θ)
Because cos(2x) = 2 cos²x - 1, therefore
V² = 2(1 + 2cos²θ - 1) = 4 cos²θ
Because -1/2π < θ < 1/2π,
V = 2 cosθ PROVEN
Part ii.
1/z = 1/[1 + cos2θ + i sin 2θ]
The denominator is
Therefore
The real part of 1/ = 1/ (constant).
Answer:
D 3.5
Step-by-step explanation:
Replace values in the equation with values given. Calculate.
Answer:
l = 14
Step-by-step explanation:
The perimeter of a rectangle is
P =2(l+w)
The width is x-6
w = x-6
The length is 8 units longer than the width
l = w+8
l = x-6+8
l = x+2
We can substitute this into the equation for Perimeter, which is given as 40
40 = 2(x+2 + x-6)
Combine like terms
40 =2 (2x-4)
Divide by 2
40/2 = 2/2 (2x-4)
20 = 2x-4
Add 4 to each side
20+4 =2x-4+4
24 = 2x
Divide by 2
24/2 =2x/2
12=x
We want to know the length
l = x+2
l =12+2
l = 14
Answer:
i think the correct answer is D
have a nice day! (^o^)