.
= {{-sqrt(3)*sin(x)}}} ---> (Use the formula sin(2x) = 2*sin(x)*cos(x). You will get )
= --->
= 0 ---> (factor left side)
xin(x)*(2*cos(x)+sqrt(3)) = 0 .
Then the last equation deploys in two independent equations.
1. sin(x) = 0 with the solutions x = 0 and x = , and
2. 2*cos(x) + sqrt(3) = 0 ---> cos(x) = with the solutions
x = and x = .
Answer. The solutions to the given equations are x= 0, x= , x = and x= .
Plot y = sin(2x) (red) and y = (green)
You have many solved similar problems in this site. See the lessons
- Solving simple problems on trigonometric equations
- Solving typical problems on trigonometric equations
- Solving more complicated problems on trigonometric equations
- Solving advanced problems on trigonometric equations
These solved problems are samples for you to learn from.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Trigonometry: Solved problems".