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CIE A Level Maths: Pure 1复习笔记3.3.1 Radian Measure
Category:
A-level课程
,
教材笔记
,
福利干货
Date: 2022年8月19日 上午10:07
Radian Measure
Radian measure
Radians
are an alternative to degrees for measuring angles
1 radian is the angle in a sector of radius 1 and arc length 1
Radians are normally quoted in terms of π
This leads to
2
π = 360°
π = 180°
The symbol for radians is
c
but it is more usual to see
rad
Often, when π is involved, no symbol is given as it is obviously in radians
Radians are used in
trigonometry
(see Exact Values) and
calculus
(First Principles Differentiation – Trigonometry)
How do I change between radians and degrees?
The most common are below, these are helpful to know
Multiples of these are quite common too, eg ¾π = 135°
For less familiar angles use
π = 180°
to convert
How do I use radians to find the length of an arc?
The length of an arc is
s = rθ
How do I use radians to find the area of a sector?
The area of a sector is
A = ½θr
2
Solving problems with radians
Other
angle
,
circle
,
area
, etc skills may be needed
For example, area of a triangle
"A = ½absinC"
Exam Tip
Exam papers will have a mixture of questions in degrees and radians
Check the mode (degrees/radians) of your calculator before using it
Ensure you know how to change the mode on your calculator
For the Casio fx-991EX Classwiz
SHIFT
then
MENU
SETUP
Choose option
2:
ANGLE
UNIT
Choose either
1:
DEGREE
or
2:
RADIAN
Worked Example
转载自savemyexams
Previous post: CIE A Level Maths: Pure 1复习笔记3.2.2 Transformations of Trigonometric Functions
Next post: CIE A Level Maths: Pure 1复习笔记3.3.2 Trigonometry Exact Values
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