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Mirandaregina
 one year ago
If csc theta = √5, then what is cot theta?
Mirandaregina
 one year ago
If csc theta = √5, then what is cot theta?

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0what is the reciprocal of csc ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0not just sin :=) 1/sin = csc so csc = ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In addition to sine, cosine, and tangent, there are three other trigonometric functions you need to know for the Math IIC: cosecant, secant, and cotangent. These functions are simply the reciprocals of sine, cosine, and tangent. Cotangent is the reciprocal of tangent.

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@Nnesha so csc = 1/sine

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right so if csc = sqrt{5} then sin = ???

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0remember thy are reciprocal of each other

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@Nnesha then sin = 1/√5 = √5/5 ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1draw a triangle and label its opposite side 1 and its hypotenuse sqr(5)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0hmm \[\csc = \frac{ \sqrt{5} }{ 1 } ~~~~~ \sin=\frac{ 1 }{ \sqrt{5} }\] so draw right triangle for now it's okay leave the radical sign at the denominator dw:1440603990058:dw \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@Nnesha so if sin theta = opp/hyp, and opp is 1 and hyp is √5, is it √5/5?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right sin = opp .hypdw:1440604248339:dw apply the Pythagorean theorem to find 3rd side of right triangle

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes you could use sqr(5) for the opposite side and 5 for the hypotenuse but 1 and sqr(5) seem easier (smaller numbers) but either set will give the same answer.

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@Nnesha 1^2 + √5^2 = 6

phi
 one year ago
Best ResponseYou've already chosen the best response.1c^2 = a^2 + b^2 the unknown is a leg.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0c=hypotenuse(longest leg of right triangle )

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@Nnesha @phi did I use the Pythagorean Theorem correctly? doesn't a = 1 and b = √5 ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1no a and b are the legs you know a and c (and you need to find b, the other leg)

phi
 one year ago
Best ResponseYou've already chosen the best response.1you know the hypotenuse (because sin is opp/hyp) you know a side and the hypotenuse

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@phi how do I find b?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0quick question is 1/3 a rational number

phi
 one year ago
Best ResponseYou've already chosen the best response.1a^2 + b^2 = c^2 put in numbers for a and c can you do that ?

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@phi but does a = 1? because before I said 1^2 + √5^2 = 6

phi
 one year ago
Best ResponseYou've already chosen the best response.1a=1 and c= \( \sqrt{5} \) put those in the formula \[a^2 + b^2 = c^2\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1notice c is on the other side of the = sign from a and b

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0i guess she is trying to say that sqrt of 5 +1 equal to 6

phi
 one year ago
Best ResponseYou've already chosen the best response.1when you write 1^2 + √5^2 = c^2 a^2 + b^2 = c^2 that means a is 1 and b is sqr(5). but that is not what we want

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@phi I understand, thanks :) so I'm not sure if I did this right but I have 1^2 + b^2 = √5 b + 1^2 = √5 b^2 + 1  1 = √5  1 b^2 = √1.236068

phi
 one year ago
Best ResponseYou've already chosen the best response.1almost, but the formula says c^2 so you want (sqrt(5))^2

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@phi as is √1.111786 = 1.0544126

phi
 one year ago
Best ResponseYou've already chosen the best response.1you wrote 1^2 + b^2 = √5 but what it should be is 1^2 + b^2 = (√5)^2 now find b

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@phi oh my mistake 1^2 + b^2 = (√5)^2 b = 2

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. now you know all 3 sides of the triangle dw:1440605865953:dw

phi
 one year ago
Best ResponseYou've already chosen the best response.1the want the cotangent of theta (I would write the tangent of theta, then "flip it" to make it the cotangent) or you can remember cotangent is adj/opp

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@phi cot theta = adj/opp = 2/1 = 2

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@phi so that's the overall answer? I got that answer when I first tried it but I thought it was wrong! lol

phi
 one year ago
Best ResponseYou've already chosen the best response.1now you know how to do it so you believe it

Mirandaregina
 one year ago
Best ResponseYou've already chosen the best response.2@phi @Nnesha thank you for all your help and patience everyone :)
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