SOLUTION: Please help me solve this equation: {{{ 4sin^2(x)+7sin(x)=2 }}} with the range of theta being between 0 and 2pi. Thank you!

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me solve this equation: {{{ 4sin^2(x)+7sin(x)=2 }}} with the range of theta being between 0 and 2pi. Thank you!      Log On


   

Question 1075993: Please help me solve this equation: +4sin%5E2%28x%29%2B7sin%28x%29=2+ with the range of theta being between 0 and 2pi. Thank you!
Answer by ikleyn(52765) About Me  (Show Source):
You can put this solution on YOUR website!
.
HINT: introduce new variable y = sin(x). 

Then your equation becomes 


4y%5E2+%2B+7y = 2.


Simplify and solve it for "y".


Then find "x" as x = arcsin(y).


Having this hint, complete the solution on your own.