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[8/28/18] 12/100 days of productivity
Today has been a whole day. I’m just really tired and I woke up late so I didn’t get to do anything that I wanted to this morning. But it’s ok! It might not be a great day, and I really don’t want to be at school but we’re going one thing at a time. Hopefully time will pass faster though.
5 Easy Steps for Solving Multiple Angle Trig Equations
I’m teaching Pre-Calculus this semester and one of the topics is trig equations. There are many types of trig equations, but the one that caught my interest the most was the one involving multiple angles. I guess this is because I can’t ever remember formally learning how to solve these, but I do remember coming across these in the past and not really knowing how to handle them, so it was nice to…
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Trig equations - Maths Ext.
is anyone here good at solving trig equations i'm in grade 12 advanced functions and i dont remember a thing fml
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Solve 2sin^2 (x) + sin(x) -1 = 0
Ooh I love trig equations!! :3
Anywho, this is already in quadratic form, so all we have to do is factor and solve.
Think of this as a regular polynomial, 2x^2 +x -1 =0: Factor and solve it.
It factors to (2x-1)(x+1). T-ing out, we get x = 1/2 and x= -1.
Replace x with sin x and then see what angles satisfy the eq.
sin x = 1/2, x = arcsin (1/2), x = 30º (or pi/2), 150º (or 5pi/6)
sin x = -1; x = 270º or 3pi/2
So the solution should be written as: x = {30º, 150º, 270º} or {pi/2, 5pi/6, 3pi/2}