Chapter 7: Small Angles & Approximation
7.1 Derivation of formulae
In the diagram,
OA
and
OB
are radii and the tangent at
A
meets
OB
produced at
D
.
If
OA
= 1 =
OB
&
q
is measured in radians, then
OC
= cos
q
AC
= sin
q
AD
= tan
q
arc
AB
=
q
When
q
is
small
,
OC
»
OB
&
AC
»
arc
AB
»
AD
.
Hence, cos
q
»
1 & sin
q
»
q
»
tan
q
.
Index