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anonymous
 one year ago
what is the sin, cos, tan, csc, sec, and cot of 0 degrees?
anonymous
 one year ago
what is the sin, cos, tan, csc, sec, and cot of 0 degrees?

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3Do you have a unit circle with you?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3ok locate the angle 0 degrees what is the corresponding point on the unit circle?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3use parenthesis but yeah, (1,0)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3the x coordinate is equal to cos(theta) the y coordinate is equal to sin(theta)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3so this means `cos(0) = 1` and `sin(0) = 0`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3to compute `tan(0)` you use this trig identity \[\Large \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3yeah you'll find that tan(0) = sin(0)/cos(0) = 0/1 = 0

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3for the other three, use the identities listed on page 2 under the "Reciprocal Identities" section http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3eg: csc(x) = 1/(sin(x))

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3what was sin(0) equal to again?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3so csc(x) = 1/(sin(x)) csc(0) = 1/(sin(0)) csc(0) = 1/0 csc(0) = UND or NaN UND = undefined NaN = Not a Number

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.31/0 is NOT the same as 0/1 0/1 = 0 1/0 is undefined because you can't have 0 in the denominator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and for sec i also put undefined

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3why? what was cos(0) ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3take the reciprocal of that to find sec(0)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3another way to view why csc(0) was undefined is that 0 doesn't have a reciprocal however, sec(0) is defined

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3yeah sec(0) = 1

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3good, and taking the reciprocal of 0 leads to undefined

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3so to summarize sin(0) = 0 cos(0) = 1 tan(0) = 0 csc(0) = und sec(0) = 1 cot(0) = und
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