In solving trig, or other equations, finding the "roots" means to find the solutions. This also means find the values when "theta" or "x" is zero. Also known as the x-intercepts.
Trig equations often have multiple solutions because there are multiple angle measurements which give you the same value on a trig graph.
For instance, consider the trig equation sinx = sqrt(2)/2
Since sin45 = sqrt(2)/2 and sin135 =sqrt(2)/2 so both x = 45 and x = 135 are solutions to the trig equation
There are even more solutions to this equation since trig functions are periodic--meaning that answers repeat themselves every 360 degrees. So x = 45 + 360 = 405 is also a solution.
Wednesday, October 30, 2013
What do roots in trigonometry mean? Why does solving some trigonometric equations give you multiple solutions?
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