True
Note that:
![secant \theta = \frac{1}{cos\theta}](https://tex.z-dn.net/?f=secant%20%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7Bcos%5Ctheta%7D)
The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.
That is, sin x = cos (90 - x)
Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function
Mathematically:
since sec x = 1 / cos x
and, cos x = sin (90 - x)
therefore, sec x = 1 / sin (90 - x)
The graphs of the sine and secant functions are attached to this solution
Learn more here: brainly.com/question/9554579
Answer:
36 meters
Step-by-step explanation:
Using pythagorean theorem, 36² - 15² = 1296. √1296 = 36 meters
Answer:
The voltage is 10 + 2j volts.
Step-by-step explanation:
Ohm's first law:
By Ohm's first law, the voltage is the multiplication of the current by the resistance, that is:
![V = R*i](https://tex.z-dn.net/?f=V%20%3D%20R%2Ai)
The voltage is measured in Volts, the current in amps and the resistance in ohms.
In this question:
Both the current and the resistance have complex parts. We have to know that:
![j^{2} = -1](https://tex.z-dn.net/?f=j%5E%7B2%7D%20%3D%20-1)
We have that:
![R = 3 - 2j, i = 2 + 2j](https://tex.z-dn.net/?f=R%20%3D%203%20-%202j%2C%20i%20%3D%202%20%2B%202j)
Then
![V = R*i](https://tex.z-dn.net/?f=V%20%3D%20R%2Ai)
![V = (3 - 2j)*(2 + 2j)](https://tex.z-dn.net/?f=V%20%3D%20%283%20-%202j%29%2A%282%20%2B%202j%29)
![V = 6 + 6j - 4j - 4j^{2}](https://tex.z-dn.net/?f=V%20%3D%206%20%2B%206j%20-%204j%20-%204j%5E%7B2%7D)
![V = 6 + 2j - 4(-1)](https://tex.z-dn.net/?f=V%20%3D%206%20%2B%202j%20-%204%28-1%29)
![V = 10 + 2j](https://tex.z-dn.net/?f=V%20%3D%2010%20%2B%202j)
The voltage is 10 + 2j volts.