Which of the following numbers listed below are solutions to the equation?

Find an angle x where sin x = COS x.

Answer:

$x = \frac \pi4 + k\pi (k \in \mathbb{Z})$

Step-by-step explanation:

If $cos\ x = 0 \rightarrow sin\ x = \pm1$ , which is obviously not a solution. At this point we can divide both sides by $cos\ x$ to get

$\frac {sin\ x}{cos\ x} = 1 \rightarrow tan\ x = 1$

which has solutions $x = \frac \pi4 + k\pi (k \in \mathbb{Z})$

4 0

2 years ago

A ship captain needs to contact a diver. The communication system has a maximum range of 60 meters. Will the captain be able to

Flauer [41]

Answer:

Step-by-step explanation:

Yes they will, although the distance given is incredulously low, but it would work nonetheless. Also, worthy of mention is that the distance is 60 m and this means that a gigantic ship would not be able to get that close to the ship, as a result of it size. And thus, only a smaller ship would be able to get that close. At a range of 60 m, the driver will surely be able to reach other ships for whatever reasons they need.

3 0

3 years ago

write a real world problem that involves determining the distance between two points on a coordinate plane that have the same x

Mkey [24]

A group of students are doing a project where they make a rocket from bottles. The students all make their separate versions of the bottles. When it is time to launch their rockets, some rockets go higher than other rockets. Student A's rocket goes 3 times higher than the second highest rocket. Student B's rocket goes 50 feet into the air. Student C's rocket went a dozen feet higher into the air than Student B's rocket. If Student D's rocket went 200 feet in the air, how much higher did Student D's rocket go compared to Student A's rocket?

3 0

3 years ago

Read 2 more answers

Dan is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Compan

Scilla [17]

Answer:

$\textsf {55 miles}$