Trigonometry 23 December 2021 An introduction to Trigonometry
Trigonometry 23 December 2021
An introduction to Trigonometry A
An introduction to Trigonometry Opposite A
An introduction to Trigonometry Hypotenuse A Opposite
An introduction to Trigonometry Hypotenuse A Adjacent Opposite
Example Label each of the following triangles (i) (iii) g d f b a h e A c A A i
Example For the triangle below a) Write down the lengths of the opposite and hypotenuse sides b) Work out the ratio 8 cm 12 cm Opposite = 8 cm Hypotenuse = 12 cm 41. 8° c) Now work out the sin of 41. 8° using the calculator Sin 41. 8°=0. 6665
Right-angled Trigonometry Hyp A Adj Opp
Example Work out the lettered length in the triangle given below, giving your answer to 1 decimal place. a 8 cm 25°
Example Work out the lettered length in the triangle given below, giving your answer to 1 decimal place. 15 m 48° b
Example Work out the lettered length in the triangle given below, giving your answer to 2 decimal place. 15° b 37 cm
Example Work out the length of AB in the triangle given below, giving your answer to 2 decimal place. A 56° C 7 m B
Example For the triangle below a) Write down the lengths of the Adjacent and hypotenuse sides b) Work out the ratio 12 cm Adjacent = 7 cm Hypotenuse = 12 cm 54. 3° 7 cm c) Now work out the cos of 54. 3° using the calculator cos 54. 3°=0. 5835
Right-angled Trigonometry Hyp A Adj Opp
Example Work out the lettered length in the triangle given below, giving your answer to 1 decimal place. 10 cm 31° a
Example Calculate the length of PQ in the triangle PQR P R 52 cm 32 Q
Example Calculate the length XY in the triangle XYZ X 59 4. 6 cm Z Y
Right-angled Trigonometry Hyp A Adj Opp
Example Work out the lettered length in the triangle given below, giving your answer to 1 decimal place. 4 cm 27° a
Example Calculate the length XZ in the triangle XYZ, giving your answer correct to 3 significant figures. 4. 6 cm Z 38 X Y
Example Work out the length of AC in the triangle given below, giving your answer to 2 decimal place. A 56° C 7 m B
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