Find Solution for 4 sin(x) = 1.8 in 2nd Quadrant

[princiebebe57]

This problem seems really easy but I don't know how to solve it. Can someone please help me?

Give the solution in radians which is in the second quadrant for the equation
4 sin(x) = 1.8

 

[Gib Z]

4\sin x =1.8

\sin x = \frac{9}{20}

x = \arcsin(\frac{9}{20})

That answer will give you the solution in the first quadrant.

Use the fact \sin (\pi - x) = \sin x to finish off.