## anonymous one year ago Evaluate cot 45° without using a calculator by using ratios in a reference triangle.

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2. anonymous

$\theta = 45$ right?

yeah

so now tan theta=perpendicular/base

5. anonymous

okay so i need to get cot 45°, what two would i have to use

6. anonymous

ohh ok

7. anonymous

$\frac{ \sqrt{2} }{ 1 }$

no

1/1 =1

10. anonymous

ok sorry

so cot is the inverse of tan so cot 45=1/tan 45 =1/1=1

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13. anonymous

okay so i can say that i got the perpendicular/base and i imputed the values, which were 1/1, resulting in one, which is 1/tan45°, the inverse of cot 45°

yeah

15. anonymous

should i say cos45sin45=cot45

16. anonymous

cos45 = 1/sqrt2 sin45 = 1/sqrt2 cot45 = 1/tan45 tan45 = (1/sqrt2)/(1/sqrt2) = 1 so cot45 = 1/tan45 = 1/1 = 1

17. anonymous

or should i just leave my explanation as is

nope just say as much i told you

don't say this sin cos thing

20. anonymous

okay, thank you!

21. jim_thompson5910

@DanTheMan99 if I were answering, I'd just say cot(angle) = adjacent/opposite cot(45) = 1/1 cot(45) = 1 |dw:1440991725602:dw|

22. anonymous

thanks

25. anonymous

whats the other side called? not the perpendicular nor the base?

26. anonymous

^thanks for that

its the hypotenuse

29. anonymous

thank you, so i say i got the base and the perpendicular as the opposite/ adjacent

yeah

31. anonymous

thanks

i'll tell you a rhyme which my teacher taught .this will help you to remember the trigonometric ratios

33. anonymous

cot 45° = 1/ tan45° I need to get 1/ tan45°, i get the perpendicular/base with the opposite =1 with the adjacent =1 with the hypotenuse = Square root 2 i got opposite/ adjacent which resulted in 1/1(one), which is cot 45° do you think this is good

34. mathstudent55

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|dw:1440991800604:dw|learn this rhyme by heart and you'll never forget trigonometry.the underlined portion is the rhyme:)

36. anonymous

thank you!

38. mathstudent55