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- Trigonometric Ratios and Angle Measure
Radian measure and arc length
- Lesson: 1a9:19
- Lesson: 1b1:25
- Lesson: 1c1:17
- Lesson: 1d2:44
- Lesson: 25:08
Radian measure and arc length
Basic Concepts: Trigonometric ratios of angles in radians, Circles and circumference , Arcs of a circle
Related Concepts: Areas and sectors of circles
Lessons
arclength=r⋅θradian
- 1.Use the information in each diagram to determine the value of the variable
Give your answers to the nearest hundredth of a unit.a)
b)
c)
d)
- 2.A 20 cm long pendulum swings through an arc length of 60 cm. Through
what angle, in both degrees and radians, does the pendulum swing?
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2.
Trigonometric Ratios and Angle Measure
2.1
Angle in standard position
2.2
Coterminal angles
2.3
Reference angle
2.4
Find the exact value of trigonometric ratios
2.5
ASTC rule in trigonometry (All Students Take Calculus)
2.6
Unit circle
2.7
Converting between degrees and radians
2.8
Trigonometric ratios of angles in radians
2.9
Radian measure and arc length
2.10
Law of sines
2.11
Law of cosines
2.12
Applications of the sine law and cosine law