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today were going to be doing solving trig equations using a cast diagram which is part of the as pure content [Music] where shall we start well start with actually drawing the cast diagram the cast diagram is actually an acronym for how to memorize what is positive in each quadrant if i actually draw these lines in and then explain this is actually how to decipher the different angles so here is your angle that it makes with the x axis so here weve got 0 degrees 90 degrees 180 degrees 270 degrees and of course if its a full circle it will be 360 degrees so going back to this acute angle over here it is the angle that it makes with the x axis so youve got x degrees x degrees x degrees and x degrees so these are the four quadrants so this is your first quadrant your second quadrant your third quadrant and your fourth quadrant so in this quadrant we have cosine is positive in this quadrant all sine cos and tan are positive and this one you have sine is positive and this one tan is o