Sinusoidal Functions

[pinsir71]

I really need help with Sin X= 2/3 and pi/2<X<pi
any help would be amazing
thank you
-PINSIR71

 

[mmm4444bot]

Hi.

Could you clue us in to where you're at by providing some background information? It's hard to know how and where to begin helping you.

Do you realize that X is an angle? Do you understand what it means to take the sine of an angle X?

There are two angles on the unit circle whose sine is 2/3; one is in Quadrant I and the other is in Quadrant II.

This exercise wants the one (in radians) that's between Pi/2 and Pi.

These two angles are complimentary, so each can be written in terms of the other.

The angle in Quadrant I is written using the arcsine function, and its value is approximated using a calculator or other resource.

Please let me know if there's anything here that you do not understand. Tell me where you're at; please show your work and explain what you're thinking.