I don't know what to do. Can someone please help me solve these. I don't even know how to start.
1. Find all solutions in the interval [0, 2pie) of 2cos(x)-square root 3=0
2. Find all solutions in the interval [0, 2pie) of sin(x)=(1/4sin(x))
3. Find all solutions in the interval [0, 2pie) of 3sec^2(x)tan(x)=4tan(x)
4. Find all solutions in the interval [0, 2pie) of sin[x+(pie/4)]+sin[x-(pie/4)]=0
Hello jrose011With an equation like
you have to be careful that you don't miss any solutions by dividing both sides by , to get:
Remember the first commandment of arithmetic, which is "Thou shalt not divide by zero."
You see, is a possible solution, isn't it? (Because .) And if you divide both sides by it, you'll lose this solution.
So you have to say:
or
So you now have 2 equations to solve. is very easy. Can you do the second one? Write it as:
... and then don't forget the second commandment of arithmetic "When thou takest square roots of both sides, remember thy plus-or-minus sign".
Use and :4. Find all solutions in the interval [0, 2pie) of sin[x+(pie/4)]+sin[x-(pie/4)]=0
Grandad