Further Trigonometry

Reciprocal Trigonometric FunctionsSign up

understand and use the reciprocal functions sec θ = 1/cos θ, cosec θ = 1/sin θ and cot θ = 1/tan θ, including their graphs and domains · be able to use the identities 1 + tan^2 θ = sec^2 θ and 1 + cot^2 θ = cosec^2 θ to prove identities and solve equations

Compound and Double-Angle FormulaeSign up

be able to use the compound-angle formulae for sin(A ± B), cos(A ± B) and tan(A ± B) · be able to use the double-angle formulae sin 2A = 2 sin A cos A, cos 2A = 1 - 2 sin^2 A = 2 cos^2 A - 1 and tan 2A = 2 tan A / (1 - tan^2 A) · be able to express a sin θ + b cos θ in the form R sin(θ + α) or R cos(θ - α) and use this form to find maxima, minima and to solve equations