How to find Period and Range of a Trig Function Leaving Cert Higher Level Maths 2025 Paper2 Question

Описание: In this video, we break down a specific trigonometry question from the 2025 Leaving Cert Higher Level Maths Paper 2 (Question 6b).

We explore how to analyze a trigonometric function that includes an absolute value bracket and a vertical shift. You will learn:

How to identify the midline and amplitude of a sine function.

The effect of absolute value on the graph of a trig function.

How to determine the range (y-values) from the function's equation.

The step-by-step method to calculate the period (x-values) and how the absolute value changes the standard period.

Perfect for 5th and 6th-year students preparing for their exams or anyone looking to master trig graphs!

00:00 Introduction to the trig function and question

00:26 Identifying the absolute value and vertical shift

01:05 How to find the midline and amplitude

01:28 Sketching the base sine function

02:14 Explaining the effect of the absolute value bracket

02:50 Calculating the range of the function

03:07 Calculating the period of the function

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Leaving Cert Maths, Higher Level Maths, Trigonometry, Trig Graphs, Sine Function, Period and Range, Absolute Value Functions, LC Maths 2025, Paper 2 Question 6, Maths School of Grinds, Leaving Cert Revision, Irish Maths, Secondary School Maths, Finding Amplitude, Finding Midline, Trigonometric Functions explained