Answer:
-4
Step-by-step explanation:
[√2(cos(3π/4) + i sin(3π/4))]⁴
(√2)⁴ (cos(3π/4) + i sin(3π/4))⁴
4 (cos(3π/4) + i sin(3π/4))⁴
Using De Moivre's Theorem:
4 (cos(4 × 3π/4) + i sin(4 × 3π/4))
4 (cos(3π) + i sin(3π))
3π on the unit circle is the same as π:
4 (cos(π) + i sin(π))
4 (-1 + i (0))
-4
Answer:
x = 27
Step-by-step explanation:
To isolate x, we can multiply it by the reciprocal of the fraction (-3/2). We do the same to the -18.
Through cross-multiplication, -18/1 x -3/2 simplifies into -9/1 x -3/1 (because 2 goes into 2 once and 2 goes into -18 -9 times).
-9 x -3 = 27; therefore, x = 27
The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: 
Step-by-step explanation:
We will solve the initial steps for substitution method for finding the correct answer
Given equations are:

From equation one

Putting x = -4y-9 in equation 2

Hence,
The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: 
Keywords: Linear equations, variables
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Student B is wrong , student A is correct in simplifying the expression .
Expression B must be simplified to cot θ .
Formulas to be used are :
1 -
θ =
θ
1 -
θ =
θ .
Since , location of error is step 3 , we will start from there
[ ( 1 -
θ ) / sin θ ] / cos θ = [ ( 1 -
θ ) / sin θ ] * [ 1 / cos θ ]
= ( 1 -
θ ) / ( sin θ * cos θ )
=
θ / ( sin θ * cos θ )
= cot θ .
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Since , the question is incomplete we assume it to be :