Solve the equation [sinx]=0

Name: Problem 29, Chapter 1: Differential Calculus Booster with Problems and Solutions for JEE Main and Advanced
Uploaded: 2022-02-25T18:24:39-08:00
Duration: 55 s
Channel: Varsha Aggarwal
Description: Solve the equation [sinx]=0

Key Concepts

Periodicity of Trigonometric Functions

The periodicity of trigonometric functions means that their values repeat in regular intervals. This property is important when solving trigonometric equations because it allows one to express the general solution as an infinite set of solutions, capturing the recurring nature of the function over its period.

Trigonometric Inequalities

Solving trigonometric inequalities involves determining the intervals where a trigonometric function satisfies certain conditions. This is a key step in finding all solutions to equations that restrict the function’s values to a specific interval, and it requires an understanding of both the function's range and its periodic behavior.

Sine Function

The sine function is a fundamental trigonometric function that oscillates between -1 and 1. Its periodic nature and well-known range play a crucial role when it is composed with other functions, such as the floor function, to determine the conditions under which a particular equality holds.

Greatest Integer (Floor) Function

The greatest integer function, also known as the floor function, maps a real number to the largest integer less than or equal to that number. Understanding this concept is essential when solving equations where the floor function is applied to another function because it defines how the output is constrained by integer step values.

Please give Ace some feedback