1. Core 3
Trigonometry

2. arcsin arctan Know the definitions of arccos
in relation to the three basic trigonometrical functions
and the graphs, domains and ranges
of all these functions

3. secant cotangent Know the definitions of cosecant
in relation to the three basic trigonometrical functions
and the graphs, domains and ranges
of all these functions

6. Understand radian measure as an alternative to degree measure,
and be able to switch
between the two systems

7. Know the exact values of sin θ, cos θ and tan θ
(where defined) for values of θ in the set
Θ = {0°,30 °,45 °,60 °,90 °,180 °,270 °,360 °}
and their radian equivalents

8. Know how to use the unit circle and Pythagoras’ Theorem
to deduce the relationship between
sin θ and cos θ
and to deduce the equivalent relationships involving
sec θ, cosec θ, tan θ and cot θ

9. Understand and use the Addition (Compound Angle) formulae
for sin(A ± B) , cos(A ± B) and tan(A ± B)
to deduce the Double Angle Formulae

10. And other basic trigonometric identities to prove new identities
Understand and use the Addition formulae for sin(A ± B) , cos(A ± B) and tan(A ± B)
And other basic trigonometric identities
to prove new identities

12. Trigonometric Factor Formulae from the Trigonometric Addition Formulae
Know how to derive the
Trigonometric Factor Formulae
from the Trigonometric Addition Formulae
Know how to use the Factor Formulae
to write a sum or difference
using sin θ or cos θ to a
product using sin θ and cos θ

13. standard trigonometric identities to find exact values of
Know how to use the
standard trigonometric identities
to find exact values of
Trigonometric expressions
without a calculator

17. http://www. gogeometry