FD Mathematics 1 Calculate lengths of sides and angles in right-angled triangles GCNU208A.

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Presentation transcript:

FD Mathematics 1 Calculate lengths of sides and angles in right-angled triangles GCNU208A

FD Mathematics 2 A Right-Angled Triangle

FD Mathematics 3 Converse of Pythagoras’Theorem In any △ ABC, if AB2+ BC2 = AC2, then △ ABC is a Right Angled Triangle and AC is the hypotenuse. The angle opposite to AC is a right angle.

FD Mathematics 4 Application If the format of the TV set is fixed at 16:9, find the height of a 42-inch TV.

FD Mathematics 5

6

7 Properties of Sine Function

FD Mathematics 8 Properties of Cosine Function The value of cosine decreases from 1 to 0.

FD Mathematics 9 Properties of Tangent Function the value of tanθ increases from 0 to infinity.

FD Mathematics 10 Angle of elevation and angle of depression

FD Mathematics 11 Bearings A, B and C are 3 ships

FD Mathematics 12 Gradient

FD Mathematics 13 Trigonometric ratios of some special angles