Use the sum of angles's trigonometric identity formula:
cos(A+B)=(cosAcosB-sinAsinB)
x+y=4cos(t+π/6)+2sint=4(cost*cosπ/6-sint*sinπ/6)+2sint
recall that cosπ//6=√3/2, and sinπ/6=1/2:
4(cost*cosπ/6-sint*sinπ/6)+2sint=4[(√3/2)cost-(1/2)sint]+2sint
simplify:2√3cost-2sint+2sint=2√3cost
2010 47 +ten thousand split decide and
Y = X - 9
so 3X +2Y = 2
will be 3X +2×(X-9) = 2
3X + 2X -18 = 2
5X = 2 + 18
5X = 20
X = 4
Y = X - 9
Y = 4-9
Y = -5
the answer will be A) (4,-5)
please mark me as brainlest
Given:-

To find:-
The simplified form.
At first we take conjucate and multiply below and above.
The conjucate is,

So now we multiply. we get,

Now we simplify. so we get,

We know the value of,

Substituting the value -1. we get,

So now we split the term to bring it into the form a+ib. so we get,

So the required solution is,
Try to divided it and see what is the outcome