Trigonometry - Short Problems

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Trigonometry.

Ice Cream Tangent

KS 3 & 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

KS 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?