## anonymous 5 years ago Verify the trig identity: 3sin^2x + 4cos^2x = 3 + cos^2x

1. anonymous

$3\sin ^{2} \theta +4\cos ^{2}\theta = 3+\cos ^{2}\theta$

2. anonymous

Recall,$4\cos ^{2}\theta =3\cos ^{2}\theta +\cos ^{2}\theta$

3. mathmagician

4. anonymous

I don't think they want to you to 'solve' the equation, just show that one side is equal to the other :)

5. mathmagician

Well, its the same thing- if you solve the equation and show, that the result is 0, the identity is proved

6. anonymous

That is true but schools have standard or conventional ways of doing it; leaving one side the same and breaking down the other.