The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)
According to the statement
we have given a coordinates of the rectangle and we have to find the polar coordinates.
So, For this purpose, we know that the
We Use the conversion formulas to convert from polar coordinates to rectangular coordinates which are
x = rcosθ
y = rsinθ
Substitute the given values in it then
x=(4)cos(300)
y=(4)sin(300)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
x=(4)cos(60) -(1)
y= - (4)sin(60) -(2)
And then
x=(4)cos(60)
x=(4)(1/2)
x = 2 -(3)
and
y= - (4)sin(60)
y= - (4)(√3/2)
y= - 2√3 -(4)
Replace (3) with (1) and (4) with (2)
then it becomes
x = 2 and y= - 2√3
The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)
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Answer:y= -5x+1
9=-5(-2)-1=9
-4=-5(-1)-1
Step-by-step explanation:
We are given 2 sides 18.7, 16.1 and a NON-included angle.
We have to calculate the altitude of the triangle.
altitude = 18.7 * sine (35)
altitude = 18.7 * 0.57358
altitude =
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10.725946
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In this case, side c is greater than the altitude and is less than side a so 2 two triangles will be formed.
Source:
http://www.1728.org/trigssa.htm
Answer: 58, 122
Step-by-step explanation:
The value of angle Z is 30 degrees
<h3>How to determine the value of angle Z?</h3>
The given parameters are:
ABC is dilated to form XYZ
This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal
So, we have the following angle equations
A = X
B = Y
C = Z
Also, we have
A + B + C = 180
Substitute C = Z in A + B + C = 180
A + B + Z = 180
Substitute A = 45 and B = 105
So, we have:
45 + 105 + Z = 180
Evaluate the like terms
150 + Z = 180
Subtract 150 from both sides
Z = 30
Hence, the value of angle Z is 30 degrees
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