Trigonometry - Short Problems

A collection of short Stage 4 problems on trigonometry

Ice Cream Tangent

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

Weekly Problem 28 - 2008
The diagram shows a semi-circle and an isosceles triangle which have equal areas. What is the value of tan x?

Symmetric Angles

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

Weekly Problem 43 - 2009
This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?