Trigonometry Worksheet

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Znunqsipqe

Mathematics

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8. D +0 107 mm 75mm F E The area of triangle DEF is 2050mm². Work out the value of x. 9. a) Sketch sine and cosine functions below. NOT TO SCALE (4 marks) b) Solve the following equations for 0° ≤ x ≤ 360°. Make a sketch of the graph and indicate all the solutions. 3sinx = 2 5tanx 3 = 1 -5. This is a cuboid: A 3cm 8cm B 5cm C Calculate: a) the length AC b) the length BG c) the length BF E F H G A triangle has sides of 4cm, 6cm and 8cm. Is this triangle a right-angled triangle" How tall is the tree? d) the angle between the line BF and the base of the cuboid BCGH 65° 10m10. O is the centre of this circle, and AB is a chord. If AB is 10cm and OC is 3cm, what is the radius of the circle? C B not drawn accurately 11. AB and CD are chords of this circle, centre O. AD is a straight line. Calculate the values of angles a - f. A D 47°) AB = CD 6. For this triangle: a) Calculate x. b) Calculate the area. B C 7. Calculate angle a. not drawn accurately 80° 50°) x 16cm 8cm 9cm b 10cm (c
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Explanation & Answer

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Sol: 1
𝑎𝑟𝑒𝑎 = (107)(75) sin(𝑥)
2
2050 = 4012.5 sin(𝑥)
sin 𝑥 =

2050
4012.5

sin 𝑥 =

2050
4012.5

𝑥 = sin−1 (

2050
)
4012.5

𝑥 = 30.72°

Sol: Sine function sketch:

Cosine function sketch:

Sol: 3 sin 𝑥 = 2
2
3
2
𝑥 = sin−1 ( )
3
sin 𝑥 =

𝑥 = 41.81°, 138.19°

Sol: 5 tan 𝑥 −...


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