NZ Level 7 (NZC) Level 2 (NCEA)
Intro to sin(x), cos(x) and tan(x)

Interactive practice questions

Consider the equation $y=\cos x$y=cosx.

a

Using the fact that $\cos60^\circ=\frac{1}{2}$cos60°=12, what is the value of $\cos120^\circ$cos120°?

b

Using the fact that $\cos60^\circ=\frac{1}{2}$cos60°=12, what is the value of $\cos240^\circ$cos240°?

c

Using the fact that $\cos60^\circ=\frac{1}{2}$cos60°=12, what is the value of $\cos300^\circ$cos300°?

d

Complete the table of values, giving answers in exact form.

 $x$x $\cos x$cosx $0$0 $60^\circ$60° $90^\circ$90° $120^\circ$120° $180^\circ$180° $240^\circ$240° $270^\circ$270° $300^\circ$300° $360^\circ$360° $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
e

Plot the graph of $y=\cos x$y=cosx.

Easy
Approx 5 minutes

Consider the equation $y=\sin x$y=sinx.

Consider the equation $y=\tan x$y=tanx.

Consider the equation $y=\cos x$y=cosx.

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems