VIDEO 01
Introduction to Trigonometry | Naming the Sides of a Right-Angled Triangle | Grade 10 CAPS Math
Learn how to identify the hypotenuse, opposite side and adjacent side in a right-angled triangle relative to the angle under consideration.
Trigonometry
Learn how to use trigonometric ratios to determine sides and angles and solve trigonometric equations.
01△Introduction to Trigonometry
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02sin θ, cos θ, tan θTrig Ratios: Sin, Cos and Tan
0390°Determine Sides and Angles in 90° Triangles
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VIDEO 01
How to Find a Missing Side Using Trigonometry | Grade 10 CAPS Maths
Learn how to calculate a missing side in a right-angled triangle by choosing the correct sine, cosine or tangent ratio using SOHCAHTOA.
VIDEO 02
How to Find a Missing Angle Using Trigonometry | Grade 10 CAPS Maths
Learn how to calculate an unknown angle in a right-angled triangle using inverse sine, cosine or tangent.
VIDEO 03
Mixed Trig Triangles | Find Angle | Find Side | Grade 10 CAPS Maths
Practise mixed right-angled triangle problems where you must decide whether to find a missing side or angle and choose the correct trig ratio.
04cosec θ, sec θ, cot θReciprocals – Cosec, Sec and Cot
050°, 30°, 45°, 60°, 90°Special Angles – 0°, 30°, 45°, 60° and 90°
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VIDEO 01
Special Triangles Introduction | Trigonometry Special Angles | Grade 10 CAPS Maths
Learn how to use the 45° and 30°–60° special triangles to find exact sin, cos and tan values without a calculator, including the values at 0° and 90°.
VIDEO 02
How to Solve Special Angles Without a Calculator | Trigonometry | Grade 10 CAPS Maths
Practise solving special-angle trigonometry questions without a calculator using exact values for sine, cosine and tangent at 30°, 45°, 60° and 90°.
06CASTThe CAST Diagram
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VIDEO 01
Trig Ratios on the Cartesian Plane | Trigonometry | Grade 10 CAPS Maths
Learn how to calculate trigonometric ratios on the Cartesian plane using x, y and r and form right-angled triangles from points in different quadrants.
VIDEO 02
CAST Diagram | Sin, Cos and Tan Signs | Trigonometry | Grade 10 CAPS Maths
Learn how the CAST diagram shows whether sine, cosine and tangent are positive or negative in each quadrant.
VIDEO 03
How to Calculate Trig Ratios Using a Sketch | CAST Diagram | Grade 10 CAPS Maths
Learn how to use a given trig ratio, angle interval and quadrant signs to draw a sketch, find missing values with Pythagoras and determine sin, cos and tan without a calculator.
VIDEO 04
Calculate Trig Ratios Using a Sketch | More Examples | Grade 10 CAPS Maths
In this Grade 10 CAPS Maths lesson, we work through more examples of calculating trigonometric ratios using a sketch. Learn how to identify the correct quadrant, draw the triangle, find missing values, and calculate expressions using sin, cos and tan.
07sin θ = kSolving Trig Equations
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VIDEO 01
Solve Trig Equations | Grade 10 CAPS Maths
Learn how to solve basic trigonometric equations step by step by isolating the trig expression, using inverse trig functions and solving for the angle.
VIDEO 02
Solve Trig Equations | More Challenging Examples | Grade 10 CAPS Maths
Take your trigonometric equation skills to the next level with five more challenging Grade 10 examples involving 2θ, brackets, fractions and multiple algebraic steps.
08y = sin θTrig Graphs
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VIDEO 01
Draw and Understand the Basic Sine Graph | Properties of the Sin graph | Grade 10 CAPS Maths
Learn how to draw the basic sine graph y = sin θ from 0° to 360° and understand its key properties, including domain, range, amplitude and period.
VIDEO 02
Transforming Sine Graphs | Stretch & Shift Sine Graphs | Grade 10 CAPS Maths
Learn how to transform sine graphs by stretching, reflecting and shifting them. See how a and q affect the graph, amplitude, range, maximum and minimum values.
VIDEO 03
Draw and Understand the Basic Cosine Graph | Properties of the Cos graph | Grade 10 CAPS Maths
Learn how to draw the basic cosine graph y = cos θ from 0° to 360° and understand its key properties, including domain, range, amplitude and period.
VIDEO 04
Transforming Cosine Graphs | Stretch & Shift Cos Graphs | Grade 10 CAPS Maths
Learn how to transform cosine graphs by stretching, reflecting and shifting them. See how a and q affect the graph, amplitude, range, maximum and minimum values.
VIDEO 05
Draw and Understand the Basic Tangent Graph | Properties of the tan graph | Grade 10 CAPS Maths
Learn how to draw the basic tangent graph y = tan θ and understand its key properties, including its asymptotes, domain, range and period.
VIDEO 06
Transforming Tangent Graphs | Stretch & Shift Tan Graphs | Grade 10 CAPS Maths
Learn how to transform tangent graphs using a and q. See how tangent graphs stretch, compress, reflect and shift vertically, and how these changes affect the graph.
VIDEO 07
Trig Graphs Exam Question | Video 1 | Grade 10 CAPS Maths
Work through a Grade 10 trigonometric graphs exam question step by step and practise interpreting sine and cosine graphs, determining graph properties and answering typical exam questions.
VIDEO 08
Trig Graphs Exam Questions | Grade 10 CAPS Maths | Video 2
Work through Question 6 from the November 2022 Gauteng Grade 10 exam paper. Learn how to determine amplitude and range, compare trig graphs and answer graph-based trigonometry questions.
VIDEO 09
Trig Graphs Exam Questions | Grade 10 CAPS Maths | Video 3
Work through a real Grade 10 trig graphs exam question involving f(x)=3sinx and g(x)=2cosx+1. Learn how to sketch both graphs, find amplitude and period, and use the graphs to solve equations and inequalities.
09△Trig Problems in Two Dimensions
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VIDEO 01
Solve 2D Trig Problems | Angle of Elevation & Depression | Grade 10 CAPS Maths
Learn how to solve 2D trigonometry problems using right-angled triangles, angles of elevation and depression, and the correct trig ratio in real-life applications.
VIDEO 02
2D Trig Problems | More Challenging Examples | Grade 10 CAPS Maths
Learn how to solve more challenging 2D trigonometry problems step by step by breaking complex diagrams into smaller right-angled triangles and using angles of elevation and depression.