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# Trigonometry Questions

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• pg 1
```									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)

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.