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.

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- Jul 21st 2009, 07:31 AMVikygeneral solution?
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. - Jul 21st 2009, 07:47 AMChris L T521
Note that when you distribute the 2, you have

Thus,

So it follows that

Does this make sense?

Quote:

2} Write down the equation of q, if q is the result of p shifted 3 units to the right.

- Jul 21st 2009, 08:16 AMViky
i didn't get the first part

- Jul 21st 2009, 09:26 AMGrandadGeneral solution of trig equation
Hello Viky

, 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.

Grandad