Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
When you are multiplying 2 numbers with exponents, you need to add the exponent. When you multiply an exponent with an exponent, you multiply them.
So,
(3^2 x 7^4) ^9
First multiply the base and add exponents = ( 21^6) ^9
= 21 ^6x9
21^54
The same rule applies for variables, just pretend there is an imaginary 1.
Answer:
he made the error in step 2
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
x=1 and y=-3
so 3x^2 + y = 3*1^2 + (-3)
= 3* 1 -3
=0
The Question is Incomplete The complete question with figure is below.
Answer:
Therefore the equation to solve for b is

Step-by-step explanation:
Given:
In Right Angle Triangle ABC
∠C = 90°
BC = 5 cm
AB = 10 cm
∠A = 30°
To Find:
b = ?
Solution:
In Right Angle Triangle ABC Tangent identity we have

Substituting the values we get

Therefore the equation to solve for b is
