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# Strand 2 Higher Level Geometry and Trigonometry

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• Description
• Outcome
• Certification
• Geometry and Trigonometry is the second of two strands introduced in the first phase of the new Project Maths Course. This topic covers up to a third of the new Paper 2 in the Leaving Certificate Paper in the Irish curriculum. Synthetic Geometry and Co-ordinate Geometry are used in real life to help us understand the dimensions and transformations of shapes and figures (lines, triangles, polygons and circles). Synthetic geometry studies shapes by means of axioms and theorems. Co-ordinate geometry studies lines and circles by reference to a fixed set of co-ordinates. Trigonometry is concerned with ‘real life’ measurements of length, angles and circular measure in both two and three dimensions. The use of trigonometry is commonly utilised in the areas of quantity surveying, building and construction, and architecture. This strand is without doubt the most applicable area of the Leaving Certificate mathematics syllabus and allows students gain experience of realistic solutions to real-world problems.

• Having completed this course students will be able to:

• Determine the slope of a line given it’s equation

• Find the equation of a line perpendicular to a given line and passing through a given point

• Compute the angle between two given lines

• Determine the equation of a circle having a given centre and radius

• Find the equation of a tangent to a given circle at a specified point

• Find distance and angle using Sine and Cosine Rules

• Find length of an arc and area of a sector using circular measure

• Solve the trigonometrical equations sin(x) = r and cos(x) = r in general form

• All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.

Having an official Alison document is a great way to celebrate and share your success. It is:

• Ideal to include with CVs, job applications and portfolios
• A way to show your ability to learn and achieve high results