Understanding Radians and Trigonometric Values - Chapter 5
Explore the concept of radians and trigonometric values in Chapter 5, covering topics such as converting radians to degrees, exact trigonometric values, arc length, and area of sectors. Engage with practice questions and visual aids to deepen your understanding.
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Chapter 5 Chapter 5- - Radians Radians
Radian Measure (5.1) Radian Measure (5.1)
1 Convert ? 12 radians into degrees. a) 30 b) 15 c) 0.262 d) 2160
2 Convert 2? 9 radians into degrees. a) 0.0122 b) 20 c) 40 d) 30
3 Convert 45 into radians. a) ? b)4? 4 5 d) ? c) ? 8 2
4 Convert 78 into radians. a) 7? b)26? 4 25 d) 13? c) 13? 15 30
Exact trigonometric values in Exact trigonometric values in radians (5.1) radians (5.1)
1 7? 6? What is the exact value of tan b) 1 a) 3 3 3 d) 3 c) 2
2 What is the exact value of sin 3 + sin 2? 7? 3? a) 0 b) 1 c) 3 d) 3
Arc length and area of sectors (5.2 Arc length and area of sectors (5.2 and part of 5.3) and part of 5.3)
1 What is the arc length of the minor sector AOB? Give your answer to 1dp. a) 40.5?? b) 15.0?? c) 10.1?? d) 20.2??
2 What is the arc length of this sector? Give your answer to 2dp. a) 17.8?? b) 89.36?? c) 2.23?? d) 1.12??
3 What is the area of the minor sector? Give your answer in terms of ?. a) 25 b) 25 6??2 60??2 c) 25 3??2 d) 5 3??2
4 What is the area of the sector AOB? Give your answer to 1dp. a) 188.5??2 b) 452.4??2 c) 377.0??2 d) 493.5??2
Area of segments (5.3) Area of segments (5.3)
1 What is the area of the region R? Give your answer in to 1dp. a) 3.3??2 b) 6.5??2 c) 18.5??2 d) 37.0??2
2 What is the area of the region R? Give your answer in to 1dp. a) 73.7??2 b) 75.0??2 c) 147.4??2 d) 25.1??2
Small angle approximation (5.5) Small angle approximation (5.5)
Mini whiteboards! Your job is to simplify each expression using the small angle approximation formulae.
