Covers the various sections relating to Trigonometry within the Advanced Mathematics programme.
Includes notes from the textbook, as well as additional class, video and research information, diagrams and practice questions.
Applicable to all IEB Grade 12s.
, Radian Measure
Radian measure of an angle is the ratio of the 2 lengths, measures in the same units and is thus
a pure number. (has no unit)
One radian is defined as = the angle subtended at the centre of a circle by an arc equal in
length to the radius of the circle
b
r
θ S
r
a
𝑎𝑟𝑐 𝑙𝑒𝑛𝑔𝑡ℎ 𝑆
θ= 𝑟𝑎𝑑𝑢𝑖𝑠
= 𝑟
S = θr radius
Angle in radians
Arc length
Notations: 1 radian is written as 1 rad
180°
Radian to Degrees: x 𝜋
𝜋
Degrees to Radian: x 180°
tan θ and cos θ and
cot θ are sec θ are
positive positive
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