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All 10 lessons in Trigonometric Ratios

  1. 1. The Right-Angled Triangle: Naming the Sides

    Accurately label the hypotenuse, opposite, and adjacent sides of a right-angled triangle relative to a specific reference angle.

  2. 2. SOH-CAH-TOA: Defining the Trigonometric Ratios

    Define and apply the three trigonometric ratios (Sine, Cosine, Tangent) using the SOH-CAH-TOA mnemonic.

  3. 3. Using Trigonometric Tables

    Read 4-figure mathematical tables to find the sine, cosine, and tangent of any given angle.

  4. 4. Finding Unknown Sides Using Trig Ratios

    Formulate and solve equations using trigonometric tables to find missing side lengths in right-angled triangles.

  5. 5. Finding Unknown Angles Using Inverse Trig

    Use inverse trigonometric functions to find the unknown angle in right-angled triangles.

  6. 6. Chord Lengths Using Trigonometric Ratios

    Calculate chord lengths using the perpendicular bisector theorem, Pythagoras, and trigonometry.

  7. 7. Graphs of Sine and Cosine: Construction

    Complete tables of values and construct the smooth, repeating wave graphs for Sine and Cosine.

  8. 8. Reading and Solving from Trigonometric Graphs

    Learn to solve equations like sin(θ) = k by identifying multiple intersections on a graph and using symmetry rules.

  9. 9. Angles of Elevation and Depression

    Translate real-world problems into right-angled triangles using angles of elevation and depression.

  10. 10. Bearing and Distances

    Navigate using 3-figure bearings, resolve directions into components, and use Pythagoras for resultant distances.

Unit code SSGM8