Download Solving Trigonometric Equations First let`s recall how we solved

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Transcript
Section 6.2: Solving Trigonometric Equations
First let's recall how we solved equations in algebra.
Solve:
All possible solutions
Find all solutions that are within one rotation of the unit circle and then slap on full rotations to generate all possible solutions.
Example: Solve
All possible solutions
Solve:
This is easy if we just have cosx...remember what we do...
If we have something other than just x then we will lose solutions if we are not careful. The technique to solve involves writing out all possible solutions first and then solving for x.
Solve:
Recall how we solved a quadratic equation in algebra.
Sometimes using an identity gives us an equation we can solve.
You can use the quadratic formula: If you have sinx that is being squared rather than just x then the quadratic formula gives you solutions for sinx.
Well...in class we picked an equation that has imaginary solutions so we stop.