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hi welcome to this corporate maths video on solving trigonometric equations this video is an introduction to solving trig equations and its going to be focusing on how to use the cast diagram theres a few different ways to solve trig equations such as using the graphs or just learning it off by heart however i am a fan of the cast iron garments method that i used in school and i i like it so im going to use this video in the next two videos to show you how to solve trig equations by using the cast diagram so first of all were going to look at the trig equation sine x equals 0.5 now you may know from exact trig values that the sine of 30 is equal to 0.5 or if you didnt know if by heart or if it wasnt such a nice one um you could do on your calculator do the inverse sine of 0.5 and you would get 30 degrees now if we look at the sine graph you may notice that from the sine graph whenever we look at 0.5 here 30 degrees wouldnt be the only solution you see 30 degrees would be a solu