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:
for an expression or relation to be a function, it must not have any x-coordinate values repeated, let's check this one

It would be < and > ........
Which relation is displayed in the table? {(3,3), (3, 7), (5, 8), (9,0)} {(3,3), (7, 3), (8, 5), (0,9)} {(3,3), (3, 7), (5, 9)
bulgar [2K]
Answer:
{(3,3), (3, 7), (5, 8), (9,0)
Step-by-step explanation:
The first number of an ordered pair is the x value and the second number is the y value.