SOLUTION: I solved all but 2 questions for my homework. The last 2 are driving me crazy. Here's the first, please help. {{{ 2.5tan(2x)-cot(2x)=0 }}} Hint: There are 8 answers. Can you show a

Algebra ->  Trigonometry-basics -> SOLUTION: I solved all but 2 questions for my homework. The last 2 are driving me crazy. Here's the first, please help. {{{ 2.5tan(2x)-cot(2x)=0 }}} Hint: There are 8 answers. Can you show a      Log On


   

Question 726804: I solved all but 2 questions for my homework. The last 2 are driving me crazy. Here's the first, please help. +2.5tan%282x%29-cot%282x%29=0+ Hint: There are 8 answers. Can you show a step by step? It's the only way I can learn...
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
2.5tan(2x)-cot(2x)=0
2.5tan(2x)-1/tan(2x)=0
2.5 tan^2(2x)-1=0
tan^2(2x)=1/2.5=0.4
tan(2x)=√0.4≈0.6325
Using calculator set to radians:
2x≈0.5639
x≈0.2820