Worksheet 1– Trigonometry 1. Find the values of x and y in the following triangles. (a) (b) (c) (d) (e) (f) 2. Find the values of r and p in the following triangles. Take care – remember sine is used when working with the side opposite the angle, and cosine is used when working with the angle adjacent to the angle. (a) (b) (c) (d) 3. Find the values of the sides labelled in the following triangles. Take care – remember sine is used when working with the side opposite the angle, and cosine is used when working with the angle adjacent to the angle. Use the sine (sin) and cosine (cos) functions on your calculator to help. Give your answers to 2 decimal places. (a) (b) (c) (d) (e) (f) 4. Look at your answers to question 3 parts e and f. What do you notice about your answers? Are you surprised by this? Explain your answer. Worksheet – Trigonometry – Answers 1. For those students using the values from their diagrams it is reasonable to expect some variation in answers. As approximate values are being used for sine and cosine it is not reasonable to expect more than 1 decimal place of accuracy. (a) x=3.8 units, y=3.2 units (b) x=6.1 units, y=5.1 units (c) x= 3.9 units, y=4.6 units (d) x=1.6 units, y=8.9 units (e) x=8.5 units, y=3.1 units (f) x=10.4 units, y=6 units 2. (a) p=11.5 units, r=9.6 units (b) p=13.0 units, r=7.5 units (c) p=18.8 cm, r=6.8 cm (d) p=4.3 cm, r=24.6 cm 3. (a) p=0.61 cm, r=6.97cm (b) p=5.98 cm, r=2.54 cm (c) k=3.44 cm, m=4.91 cm (d) s=5.56 cm, t=17.12 cm (e) s=13.62 cm, t=20.97 cm (f) s=13.62 cm, t=20.97 cm 4. They are the same answers. No, not surprised. They are the same triangle – check the angles. It is worth noting at this point that sin33° has the same value as cos57°, and also that cos33° has the same value as sin57°.
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