SOLUTION: Solve 4sin(π/6x)=2 for the four smallest positive solutions?
to at least two decimal places
I got .50,2.50,6.50,8.50
these are incorrect
Algebra.Com
Question 1041035: Solve 4sin(π/6x)=2 for the four smallest positive solutions?
to at least two decimal places
I got .50,2.50,6.50,8.50
these are incorrect
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Divide both sides by 4
Simplify
or Use the unit circle. Look for points on the circle that have a y coordinate of 1/2. Note: n is any integer.
or Multiply both sides by
or Simplify
The complete solution for x is or where n is any integer. This will generate an infinite number of solutions.
The first four positive solutions are when n = 0 and n = 1
--------------------
When n = 0, then
or
or
or
--------------------
When n = 1, then
or
or
or
--------------------
The four smallest positive solutions are therefore: 1, 5, 13, 17
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