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.