1. anonymous

2. Hero

Hint: $$\tan x(\tan x - 1) = 0$$

3. Hero

2nd Hint: $$\tan x = 0$$ $$\tan x - 1 = 0$$

4. Australopithecus

$\frac{\sin^2(x)}{\cos^2(x)} - \frac{\sin(x)}{\cos(x)} = 0$ = what makes sin(x) = 0?

5. Hero

Third Hint: $$x = \tan^{-1}(0)$$ $$x = \tan^{-1}(1)$$

6. Australopithecus

what ever makes sin(x) 0 makes tan(x) = 0

7. Hero

8. anonymous

hi let tanx=y then solve it by factorizing or quadratic equation.

9. anonymous

@Hero yes sir now i do explanation.

10. anonymous

@IloveCharlie did you get me?

11. Australopithecus

since there are no values in the answer that zero it out what value of x can make sin(x) = cos(x) because if sin(x) = cos(x) sin(x)/cos(x) = 1 and 1 - 1 = 0

12. anonymous

Hmm, o.k. I understand the input you guys are giving me. Would anyone b willing to solve it step by step with me though? That way I fully understand step by step?

13. anonymous

its better to solve it yourself...

14. anonymous

ok i am getting tanx=y there fore y^2-y=0 y(y-1)=0 either or y=0 y+1=0 y=0 y=1 but y=tanx s put in above tanx=0 tanx=1 x=tan^-1(0) x=tan^-1(1) x=0degree x= 45 degree now convert degree into radians yourself hint::1degree=pi/180 rad

15. anonymous

@IloveCharlie do you understand?

16. anonymous

17. Australopithecus

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18. anonymous

question plee

19. anonymous

@IloveCharlie yes.

20. Australopithecus

this is the unit circle look at the coordinates for the radians

21. Australopithecus

and then read what I said

22. Australopithecus

remember when sin(x) = 1 sin(x)^(2) = 1^(2) = 1

23. anonymous

@IloveCharlie whats up?

24. anonymous

pi/4?

25. anonymous

That's what I got from reading the chart you provided

26. anonymous

But pi/4 is in all options. How do I know which one it is

27. anonymous

thre are two answer 0 and pi/4 for all solutions {0}U{pi/4} {pi/4} answer.

28. anonymous

So c. Thank you so much! I appreciate everyones help

29. anonymous

i was just waiting for it!!!!!!!!! hahahaha Thanks.