Understand Basic Trigonometric Concepts
Recognize and define basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan).
Understand the relationship between angles and sides in right-angled triangles.
Solve Problems Using Trigonometric Ratios
Calculate unknown sides or angles in right-angled triangles using sin, cos, and tan formulas.
Apply trigonometric ratios to solve problems related to height, distance, and angles in maritime contexts.
Apply Trigonometry in Navigation
Use trigonometry to calculate distances, bearings, and positions on nautical charts.
Solve problems involving angles of elevation and depression, such as determining the height of landmarks or lighthouses.
Work with Bearings and Directions
Understand and calculate true and magnetic bearings using trigonometric methods.
Apply trigonometry for plotting courses and positions during voyage planning.
Use Trigonometry in Real-Life Maritime Scenarios
Calculate distances between vessels and landmarks using triangulation.
Apply trigonometry in determining safe distances for navigation and anchoring.
Interpret Trigonometric Data and Diagrams
Understand and interpret diagrams that involve angles and distances.
Use trigonometric concepts to analyze and solve problems related to tide calculations and wave analysis.
The word trigonometry means "triangle measurement".
60 seconds = 1 minute, 60" = 1'
60 minutes = 1 degree, 60' = 1˚
90º degrees = 1 right angle, 90˚ = 1 right angle.
Ā radian = 180˚
1 radian = 180˚/Ā
1˚ = Ā / 180°
degree to radian: multiply angle by π / 180°
radian to degree: multiply angle by 180°/π
Example: Covert the following angles to radians;
(a) 225˚ (b) 150˚ (c) 330˚
Example: convert the following angles to degrees;
(a) 5π/6 (b) 7Ā /4 (c) 3