Pre Calculus 6.0 Study Guide
CONTENT:
Quiz, Ch 6.6 - Trig Equations
Calculators Allowed
You must know the following for this assessment:
•
Be able to solve trigonometric equations for specific intervals (like [0,2pi)) or general solutions
(infinite number of possibilities as represented by a minimum number of solution statements).
• You must be able to use algebraic methods and/or trigonometric identities to isolate the
trigonometric function(s). You must then use your knowledge of common angles (and/or
uncommon angles) to find all solutions requested.
• Algebraic methods include the use of factoring and zero product property, quadratic formula,
quadratic methods applied to non-quadratics (e.g. u-substitution to change a quartic to a
quadratic), etc. Don't forget to consider the typical hierarchy of factoring methods (see
Factoring Toolbox in Notesheets section as necessary to review hierarchy and factoring
patterns).
• Be able to solve trigonometric equations with multiple angles for specific solutions over a given
interval. Remember that the key is to first find general solutions for the multiple angle (like
2x, 3x, x/2, etx.), solve the general solutions for the single angle (x), and then use this
general solution equation to find specific solutions over the required given interval.
• DONE!