Day 7: Seven Terms in a Tricky Trig Sum

Geometry Level 5

Solve: $2\sin\theta(\sin2\theta +\sin4\theta +\sin6\theta +\dots+\sin14\theta ) = \cos\theta - \frac12$ where $0^{\circ}\leq \theta \leq 24^{\circ}$.

Give your answer as the product of your solutions (each in degrees).

This problem is part of the Advent Calendar 2015.
×

Problem Loading...

Note Loading...

Set Loading...