SOLUTION: Hi, this problem is giving me a hard time. The problem is rad3*sin2x=cos2x. I'm supposed to find all solutions of this equation and these double angles are making me frustrated.

Question 138440This question is from textbook Algebra and Trigonometry
: Hi, this problem is giving me a hard time. The problem is rad3*sin2x=cos2x. I'm supposed to find all solutions of this equation and these double angles are making me frustrated. Thank you for helping me out. This question is from textbook Algebra and Trigonometry

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I suspect you are frustrated because you are trying to make this too difficult. If you are using the double angle formulas you are barking up the wrong tree.

Remember that

Let

Then =>

Now with a bit of algebra we can write: which is to say => =>

But , so => . The periodicity of is , so the complete solution is where k is any integer.
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