You can put this solution on YOUR website! .
sin(7x)=0.43 find the smallest , largest and number of solutions.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The formulation is not accurate.
The accurate formulation is as follows:
sin(7x)=0.43. Find the smallest solution, the largest solution and the number of solutions in the interval [,).
OK. Sine has 7 full periods in this interval, and in each period the equation has exactly two solutions,
so the total number of solutions is 2*7 = 14.
To find the smallest, write 7x = arcsin(0.43) = 0.4444 (aproximately). (Here I used my calculator. You can use yours)
Hence, x = = 0.0635 (approx.). It is the smallest solution.
The next solution after that is 7x = ,
and the largest is = , or
= .
You can calculate it on your own using this formula.
