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
Add a comment
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:
Answer:
Step-by-step explanation:
Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Answer:
d definetly d
Step-by-step explanation:
The radii of the frustrum bases is 12
Step-by-step explanation:
In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section
As given in the figure radius and height of the cone are 9 and 12 respectively
Similarly, the height of the frustum is 4
Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)
We can see that ΔABC is similar to ΔADE
Using the similarity theorem
AC/AE=BC/DE
Substituting the values
12/16=9/DE
∴ DE= 16*9/12= 12
Hence the radii of the frustum is 12
