Core 3 Trigonometry http://www.tes.co.uk/ResourceDetail.aspx?storyCode=3009773.

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Presentation transcript:

Core 3 Trigonometry http://www.tes.co.uk/ResourceDetail.aspx?storyCode=3009773

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

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

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

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

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

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

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

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

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

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