1. IloveCharlie

2. dpaInc

factor it... treat it as a quadratic...

3. eyust707

Lets just change the name of tanx.. lets call z.

4. waterineyes

Factor out tan(x) first..

5. eyust707

$z^2 - z = 0$ can you do that one?

6. waterineyes

$\tan(x)(\tan(x) - 1) = 0$ $\tan(x) = 0$ And: $\tan(x) - 1 = 0$ Now try to find x..

7. IloveCharlie

1/4?

8. IloveCharlie

?

9. helpingtutors

x = arc tan(1) x=??

10. IloveCharlie

pi/4

11. nickhouraney
12. waterineyes

tan(x) = 0 Can you tell for what value of x tan(x) is 0 ??

13. IloveCharlie

:/ uhhh

14. waterineyes

huh...

15. waterineyes

tan(x) = 0 can't you find x from it?? $x = \tan^{-1}(0)$

16. IloveCharlie

I replied to helpingtutors, pi/4?

17. waterineyes

That is not right for this..

18. waterineyes

That is right for $$tan(x) = 1$$

19. waterineyes

Can you find the value of $$tan^{-1}(0)$$ ??

20. IloveCharlie

0

21. waterineyes

Yes..

22. waterineyes

One value you are getting 0 and other pi/4 What could be the answer can you tell ??

23. waterineyes

By looking at the answer choices..

24. IloveCharlie

C.? Or can you reduce?

25. nickhouraney

reduce?

26. waterineyes

Are you sure with C or not ?? Tell me this thing..

27. IloveCharlie

Yes

28. waterineyes

Then you are right..

29. nickhouraney

tangent equals zero in two points in the unit circle

30. IloveCharlie

C. Thank you all for your help :) I appreciate it very much

31. waterineyes

Wait..

32. IloveCharlie

:/

33. waterineyes

Go with @nickhouraney

34. IloveCharlie

So not c.?

35. waterineyes

No.. My mistake there...

36. nickhouraney

whats points in the unit circle will tangent equal zero

37. nickhouraney

38. waterineyes

Basically : $$tan(x) = 0$$ $\implies x = n \pi, n \in \mathbb{Z}$

39. waterineyes

n is integer here.. Put n = 0 and 1 to find your answer..

40. IloveCharlie

b.?

41. waterineyes

Yep..

42. IloveCharlie

Ahhhh I see. Thanks guys

43. waterineyes

Welcome dear..