Answer:
Option (3)
Step-by-step explanation:
w =
Since, cos(225) = cos(180 + 45)
= -cos(45) [Since, cos(180 + θ) = -cosθ]
= -
sin(225) = sin(180 + 45)
= -sin(45)
= -
Therefore, w =
=
=
z = 1[cos(60) + i(sin(60)]
=
=
Now (w + z) =
=
=
=
Therefore, Option (3) will be the correct option.
The required number is 4
Step-by-step explanation:
We need to find the number from the given statement:
What number increased by two is equal to two less than twice the number?
Converting statement into mathematical form.
Let number=x
number increased by two: x+2
is equal: =
two less than twice the number: 2x-2
So, equation is:
Solving the equation to find value of x:
So, the required number is 4.
Keywords: Word Problems
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