## anonymous one year ago If cosine of x equals 1 over 2, what is sin(x) and tan(x)? Explain your steps in complete sentences

1. anonymous

@mathstudent55 @e.mccormick @pooja195

2. anonymous

@Hero @ganeshie8

3. anonymous

@King.Void.

4. UnkleRhaukus

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5. UnkleRhaukus

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6. UnkleRhaukus

cosine = adjacent / hypotenuse sine = opposite / hypotenuse tangent = opposite / adjacent

7. UnkleRhaukus

the question states cosine of x equals 1 over 2 so you can determine the length of the adjacent side, and the hypotenuse

8. anonymous

So sin would be 1/2 as well and tan would be 1/1 ?

9. UnkleRhaukus

|dw:1440302345298:dw|

10. UnkleRhaukus

work out the length of the opposite side, with pythag

11. UnkleRhaukus

1^2 + opp^2 = 2^2 opp =

12. UnkleRhaukus

NB: 1^1 + 1^2 = 2 ≠ 4

13. anonymous

so x would equal $\sqrt{3}$

14. UnkleRhaukus

yeah, that is the length of the opposite side

15. anonymous

so then i plug it in and thats the answer?

16. UnkleRhaukus

|dw:1440302619035:dw|

17. UnkleRhaukus

now work out sine = opposite / hypotenuse tangent = opposite / adjacent

18. anonymous

so sin = √3/2 and tan =√3/1

19. UnkleRhaukus

YES!, but you should simplify √3/1

20. anonymous

Thanks so much. Can you help me with one more please

21. UnkleRhaukus

Sure!

22. anonymous

I'll make a new question and tag you again

23. UnkleRhaukus

ok!