► My Trigonometry course: https://www.kristakingmath.com/trigonometry-course
Oftentimes in a trig class you'll be given a trig equation like the one in this video and asked to find the solutions of the equation inside a particular interval.
The easiest way to solve a problem like this one is to first put the entire equation in terms of sine and cosine, instead of any of the other circular trig functions. Then you'll want to move all of the terms to one side of the equation, such that the other side is now equal to 0.
Then, hopefully, you'll be able to apply zero theorem to solve for the values of the angle theta that make the equation true. Once you've done that, you'll want to compare those values to the interval you've been given, and you'll ignore any solutions that are outside the interval. For your final answer, you'll list only the solutions you found that are inside the interval. You need to make sure that you consider whether the interval includes one or both endpoints, or if the endpoints are excluded. You'll want to list a solution that falls on an included endpoint, but ignore a solution that falls on an excluded endpoint.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
FACEBOOK // https://www.facebook.com/KristaKingMath
TWITTER // https://twitter.com/KristaKingMath
INSTAGRAM // https://www.instagram.com/kristakingmath/
PINTEREST // https://www.pinterest.com/KristaKingMath/
GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King
Tagged under: ,double-angle formula,precalculus,educational,interval,solutions,Krista King,calculus,trigonometry,precalc,trig,solutions interval
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