determine the general solution:
2(sinxcosx - 1/2) =0
2} Write down the equation of q, if q is the result of p shifted 3 units to the right.
So it follows that
Does this make sense?
When you shift a function units to the right, you generate a function . Use this idea to answer this part of the question.2} Write down the equation of q, if q is the result of p shifted 3 units to the right.
, using the identity
Since , one possible solution is ; i.e. . But how do we find the general solution? Like this:
The positive values of that make are , and so on.
Or we can go the other way and find negative values of by taking away multiples of . So is also satisfied by , and so on.
Combining all these together we can say that the general solution of is:
or simply , where
Now replace by , and we get
Divide by 2:
This is equivalent to the answer that Chris L T521 gave you, but the values of start in a different place.