Answer:Consider the right triangle formed by the complex number in the Argand-Gauss plane and it's projections on the axis. – José Siqueira Nov 12 '13 at 17:21
In particular what is the definition of sine of theta in terms of the known sides of the above mentioned right triangle? – Adam Nov 12 '13 at 17:27
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3 Answers
1
Consider the following Argand-diagram
enter image description here
The y-axis is the imaginary axis and the x-axis is the real one. The complex number in question is
x+yi
To figure out θ, consider the right-triangle formed by the two-coordinates on the plane (illustrated in red). Let θ be the angle formed with the real axis.
tanθ=yx
⟹tan−1(yx)
The hypotenuse of the triangle will be
x2+y2−−−−−−√
Therefore,
Step-by-step explanation:
Divide 1/16 by 3/5 and you get .104 we can check by multiplying our answer by 3/5 and we get 1/16
Answer:
-12 = 3x - 4y
Step-by-step explanation:
Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.
Using the point slope form, we get:
y - 3 = (3/4)(x - 0), or
4y - 12 = 3x, or
-12 = 3x - 4y (which is in Standard Form).
Answer:
sorry I don't know
Step-by-step explanation:
Step-by-step explanation:
2x = y-10
Rewrite as: 2x + 10 = y
Therefore:
2x+10 = y
2x +7 = 2y
Subtract the equations:
2x + 10 = y
- 2x + 7 = 2y
______________
3 = -y
Therefore y = -3
Substiture y = -3 into the second equation:
2x + 7 = 2(-3)
2x + 7 = -6
2x = -13
x= -6.5
Answer : (-6.5, -3)
