problem

### Trig reps

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

problem
###
Trig reps

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

problem
###
Stadium Sightline

How would you design the tiering of seats in a stadium so that all spectators have a good view?

problem
###
Sine and Cosine

The sine of an angle is equal to the cosine of its complement. Can
you explain why and does this rule extend beyond angles of 90
degrees?

problem
###
Eight Ratios

Two perpendicular lines lie across each other and the end points
are joined to form a quadrilateral. Eight ratios are defined, three
are given but five need to be found.

problem
###
Over The Pole

Two places are diametrically opposite each other on the same line of latitude. Compare the distances between them travelling along the line of latitude and travelling over the nearest pole.

problem
###
A Scale for the Solar System

The Earth is further from the Sun than Venus, but how much further?
Twice as far? Ten times?