Trigonometry - Short Problems

A collection of short Stage 4 problems on trigonometry

Weekly Problem 28 - 2008

Stage: 3 and 4 Challenge Level: Challenge Level:1

The diagram shows a semi-circle and an isosceles triangle which have equal areas. What is the value of tan x?

Weekly Problem 43 - 2009

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?

Weekly Problem 10 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

Try to calculate the length of this diagonal line. Are you able to find more than one method?

Weekly Problem 35 - 2015

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 35 - 2015