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SOlving Trig Equations without a Calculator :)
2sin x-1 = 0 on (0, 2 ) 2 sin x =1 sin x = 1/2 look on the unit circle and the answers are /6 and 5 /6 First you solve the problem algebraically then you look for the answer on the unit circle (which is in radians)
First in order to solve these Trigonometry equations you have to use the unit circle which is in both in radians and degrees
You can also use a let statement in order to help you solve a problem for example let y =sin x so lets say instead of 2 sin^2 x- 3sin x + 1 =0 it could be 2y^2 - 3sin x + 1 = 0 in a problem .
In order to begin to solve these problems you first find out the theda or the # of angles . There are 2 possible ''languages'' thatthe equations usually ask for which is either radian or degrees
SInce we use sine and co-sine alot what about co-tangent? so for cot x + 1 = 0 on [ 4, ] cot x = - 1 but since cot = cos/ sine then cot = -1 /-1 which would technically be the same thing as 5/5 which would only leave the square root of 2/ 2 in the unit circle and the answers would be 7 /.4 and 3 /4
What I found interesting is that all of this is actually simple its just a matter of knowing what to do, I had to be careful solving algebrically and know the if the problem is asking for radians and degrees then you can solve. :)
