MathematicsCode 9709

Trigonometry

What this topic asks you to be able to do

  • understand how secant, cosecant and cotangent relate to cosine, sine and tangent, and work with the graphs and properties of the six trigonometric functions for an angle of any size
  • use trigonometric identities to simplify expressions, to find their exact values and when solving equations, choosing whichever identity or identities suit the context; in particular, be at ease with sect2 ii + 1 and cosecc2 ii + 1, with expanding sin(A ± B), cos(A ± B) and tan(A ± B), with the formulae giving sin 2A, cos2A and tan 2A, and with writing ab sinc ii + os as Rsin^h i ! a and as Rcos^h i ! a