Wave function Flashcards
How to express acosx + bsinx in the form kcos(x+-a) or ksin(x+-a)
Write whatever form is asked in underneath equation given.
Using trig identities expand the brackets of eq asked for
Equate coefficients
Solve for k(square and add = k^2 then square root k^2)
Solve to find a and using ksinx/kcosx
Find which quarter it is in by one with two ticks solve for a.
Rewrite equations with original equations then underneath expressed with equation asked for.
Given choice which version of wave function should be used
If starts with cos use cos wave function and vice versa
How to find maximum and minimum values of a wave function
Use wave graph
acosx + bsinx =c
Put left hand side into wave function then solve as usual
What if question has 2x or 3x
Put into wave function as usual then take 2x or 3x into account when solving