10. Trigonometry

• know the six trigonometric functions of angles of any magnitude (sine, cosine, tangent, secant, cosecant,
cotangent)
• understand amplitude and periodicity and the relationship between graphs of related trigonometric
functions, e.g. sin x and sin 2x
• draw and use the graphs of
y = a sin bx + c
y = a cos bx + c
y = a tan bx + c
where a is a positive integer, b is a simple fraction or integer (fractions will have a denominator of 2, 3, 4, 6
or 8 only), and c is an integer
• use the relationships
sin2A + cos2A = 1
sec2A = 1 + tan2A, cosec2A = 1 + cot2A
cos
sin tan A
A = A, sin
cos
cot A
A = A
• solve simple trigonometric equations involving the six trigonometric functions and the above relationships
(not including general solution of trigonometric equations)
• prove simple trigonometric identities