7. Trigonometric Functions

7.01 The unit circle

7.02 Degrees and Radians

7.03 Circle mensuration

7.04 Angles with exact values

7.05 Circular functions: sine and cosine

7.06 Transformations of sine and cosine

7.07 Graphing sine and cosine

7.08 Circular functions: tangent

7.085 Pythagorean identities

7.09 Trigonometric equations

7.095 Further trigonometric equations

7.10 Applications of trigonometric functions

INVESTIGATION: Sine waves and music

Year 11

7.03 Circle mensuration

Interactive practice questions

Consider the sector below.

A sector of a circle is given with its radius measured as $96.4$96.4 $mm$mm. Each of the two sides of the sector has a tick mark. The angle between the two sides is a right angle as indicated by the a small square.

a

Calculate the perimeter. Give your answer correct to one decimal place.

b

Calculate the area. Give your answer correct to four decimal places.

Easy

4min

Consider the sector below.

Easy

4min

Consider the sector below.

Easy

3min

Find the perimeter of the figure shown, correct to two decimal places.

Medium

2min

Outcomes

2.3.1.2

calculate lengths of arcs and areas of sectors in circles

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