Trigonometry: Functions, Laws, and Applications
Trigonometric Functions
Even Functions: cos(-t) = cos(t), sec(-t) = sec(t)
Odd Functions: sin(-t) = -sin(t), tan(-t) = -tan(t), csc(-t) = -csc(t), cot(-t) = -cot(t)
Example: A point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t.
A) P(-15/17, 8/17):
- sin(t) = 8/17
- cos(t) = -15/17
- tan(t) = -8/15
- csc(t) = 17/8
- sec(t) = -17/15
- cot(t) = -15/8
Graphs of Trigonometric Functions
Amplitude, Period, and Phase Shift:
y = Asin(Bx):
- |A|: Amplitude
RMI Elevator System: Server-Side Code Analysis
AscensorRMI: Server Package
This section details the AscensorRMI class, which extends UnicastRemoteObject and represents a remote elevator object.
package server;
import java.rmi.*;
import java.rmi.server.UnicastRemoteObject;
import interfaz.GestorAscensores;
public class AscensorRMI extends UnicastRemoteObject {
private static final long serialVersionUID = 1L;
Gate door;
private int floor;
private int state;
private int id;
int model;
public AscensorRMI(int num) throws Network Device Configuration: Comprehensive Command Reference
Network Device Configuration Commands
This document provides a comprehensive reference to configuration commands for network devices.
- aaa: Authentication, Authorization and Accounting.
- access-list: Add an access list entry.
- alias: Create command alias.
- arp: Set a static ARP entry.
- banner: Define a login banner.
- boot: Boot Commands.
- buffers: Adjust system buffer pool parameters.
- cdp: Global CDP configuration subcommands.
- clock: Configure time-of-day clock.
- cluster: Cluster configuration commands.
- cns: CNS Subsystem.
Essential MS-DOS Commands & Batch Scripting
Essential MS-DOS Commands & Batch Scripting
Basic MS-DOS Commands
Here’s a list of fundamental MS-DOS commands:
- CD – Change from one directory to another.
- CLS – Clears the screen and returns the cursor to the top.
- COPY – Copies files.
- DATE – View or change the date.
- DEL – Deletes files.
- DIR – Displays a list of files and directories (folders) within a directory.
- PATH – Specifies paths where the operating system searches for executable files.
- EXIT – Closes the MS-DOS window.
- MD – Creates a new folder (directory)
Yelp Dataset Analysis with Spark: Business Insights
Yelp Dataset Analysis with Spark
This document outlines a Spark-based analysis of the Yelp dataset to extract valuable business insights. The analysis includes category-based business performance, user review patterns, and location-specific trends.
Data Loading and Preparation
First, we load the business data from a JSON file:
val path = "/Users/ishanhanda/Downloads/yelp_dataset_challenge_round9/yelp_academic_dataset_business.json"
val businessDF = spark.read.json(path)Next, we flatten the categories
CSS Layout and Positioning: A Practical Approach
Container Main
Z-Index Property
This property determines the position of elements on the web page when they are overlapping.
The boxes, layers, or divs that we make next are divs with an identifier name.