SOLUTION: Arrange the steps in the correct order to solve this trigonometric equation. Cos2x=3sin2x 1. 1=4sin2x 2. cos2x=3sin2x 3. 1/4=sin2x 4. 1-sin2x=3sin2x 5. ±1/2=sinx is true

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Question 1172417: Arrange the steps in the correct order to solve this trigonometric equation.
Cos2x=3sin2x
1. 1=4sin2x
2. cos2x=3sin2x
3. 1/4=sin2x
4. 1-sin2x=3sin2x
5. ±1/2=sinx is true at x values of 30 degrees. 150 degrees, 210 degrees, and 330 degrees
6. √1/4=√sin2x
7.±1/2=sinx
8. So x=30 degrees + 180 degrees k or x=150 degrees+180k, where k is an integer
thanks for helping with these

Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821) (Show Source):
You can put this solution on YOUR website!

The first three steps are 4, 1, 3. Then take the square root...you can figure out the rest for yourself.

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by ikleyn(52786) (Show Source):
You can put this solution on YOUR website!
.

You will learn NOTHING solving such "problems".

And anybody will learn nothing from it . . .

It is why I avoid to touch to such gibberish.

. . . . . . . . .

Can not imagine a professional teacher, who gives such problems to his (or her) students . . .

There is only one situation where it works.

It is when a substitute teacher comes to the class to substitute a real teacher, without knowing the subject of the lesson.

Then he can give such a "problem" with the only goal "to win a time".