## kcla1996 3 years ago Use the diagram to find sin X as a fraction in simplest form.

1. kcla1996

2. geoffb

Okay, what is the sin function? What two sides?

3. kcla1996

um im not too sure

4. geoffb

SOHCAHTOA. Remember that for the rest of your life. ;)

5. geoffb

Sin = Opposite / Hypotenuse Cos = Adjacent / Hypotenuse Tan = Opposite / Adjacent You will use those a lot.

6. kcla1996

what? haha

7. kcla1996

i still don't get it....

8. geoffb

Do you know what opposite and adjacent mean, relative to the angle, X, in the triangle?

9. kcla1996

idk if this is right: adjacent is 36 opposite is 60 and hypotenuse is 48 ?

10. geoffb

You're right about adjacent. The other two, you have mixed up. Opposite will always be the only side of the triangle that doesn't touch the angle you're looking at. The hypotenuse (in a right angle triangle) is always the side across from (not touching) the right angle. Also, the hypotenuse will *always* be the longest side.

11. kcla1996

sin: 48/60 cos: 36/60 tan: 48/36 is this correct?

12. geoffb

Yes! You've got the premise. The only issue is with how you've written it. Technically, the value of your angle (in degrees) is equal to sin(48/60), cos(36/60), or tan(48/36).

13. geoffb

You know X = sin(48/60), all that's left is the question asks for a fraction in simplest form.

14. kcla1996

4/5

15. geoffb

Sorry, I was thinking backward. It's not X = sin(4/5). It's sin X = 4/5. So yes, that is perfect.

16. kcla1996

thankies!! ;D