This unit looks at three new trigonometric functions cosecant (cosec), secant (sec) and cotan-gent (cot). These are not entirely new because they are derived from the three functions sine, cosine and tangent.

Sec, cosec and cot are the reciprocals of the basic trigonometric functions cosine, sine and tangent. They regularly occur in applied mathematics (e.g. the projectile equation) so justify their existence as …

Today we discuss the four other trigonometric functions: tangent, cotangent, secant, and cosecant. Each of these functions are derived in some way from sine and cosine. The tangent of x is defined to be its …

Introduce students to the reciprocal trigonometric functions secant θ, cosecant θ and cotangent θ. A good way to introduce these as reciprocal trig functions is to start by asking whether there is another …

Fundamental trig identity cos( (cos x)2 + (sin x)2 = 1 1 + (tan x)2 = (sec x)2 (cot x)2 + 1 = (cosec x)2

Use black ink or ball-point pen. If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). Fill in the boxes at the top of this page with your name. Answer all questions and ensure that your …

Show that 2 tan x – cot x = 5 cosec x may be written in the form cos2 x + b cos x + c = 0 stating the values of the constants a, b and c. Hence solve, for 0 ≤ x < 2π, the equation