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Cotangent is 1 / tangent.

Since tangent is sine / cosine, cotangent is cosine / sine.

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Q: What is the relationship between the tan and cot?
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What is the reciprocal of the tangent?

The reciprocal of the tangent is the cotangent, or cot. We might write 1/tan = cot.


How can arccot of tanx be simplified?

There is not much that can be done by way of simplification. Suppose arccot(y) = tan(x) then y = cot[tan(x)] = 1/tan(tan(x)) Now cot is NOT the inverse of tan, but its reciprocal. So the expression in the first of above equation cannot be simplified further. Similarly tan[tan(x)] is NOT tan(x)*tan(x) = tan2(x)


How can you verify 1 plus tan theta divided by 1 minus tan theta equals cot theta plus 1 divided by cot theta minus 1?

It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.


What is tan20tan32 plus tan32tan38 plus tan38tan20?

This may not be the most efficient method but ... Let the three angle be A, B and C. Then note that A + B + C = 20+32+38 = 90 so that C = 90-A+B. Therefore, sin(C) = sin[(90-(A+B) = cos(A+B) and cos(C) = cos[(90-(A+B) = sin(A+B). So that tan(C) = sin(C)/cos(C) = cos(A+B) / sin(A+B) = cot(A+B) Now, tan(A+B) = [tan(A)+tan(B)] / [1- tan(A)*tan(B)] so cot(A+B) = [1- tan(A)*tan(B)] / [tan(A)+tan(B)] The given expressin is tan(A)*tan(B) + tan(B)*tan(C) + tan(C)*tan(A) = tan(A)*tan(B) + [tan(B) + tan(A)]*cot(A+B) substituting for cot(A+B) gives = tan(A)*tan(B) + [tan(B) + tan(A)]*[1- tan(A)*tan(B)]/[tan(A)+tan(B)] cancelling [tan(B) + tan(A)] and [tan(A) + tan(B)], which are equal, in the second expression. = tan(A)*tan(B) + [1- tan(A)*tan(B)] = 1


The function cot 115 degrees is equivalent to A -tan 65 degrees B -tan 25 degrees C tan 25 degrees D tan 65 degrees?

B: -tan(25)

Related questions

What is the answer to cot squared x - tan squared x equals 0?

cot2x-tan2x=(cot x -tan x)(cot x + tan x) =0 so either cot x - tan x = 0 or cot x + tan x =0 1) cot x = tan x => 1 / tan x = tan x => tan2x = 1 => tan x = 1 ou tan x = -1 x = pi/4 or x = -pi /4 2) cot x + tan x =0 => 1 / tan x = -tan x => tan2x = -1 if you know about complex number then infinity is the solution to this equation, if not there's no solution in real numbers.


The function cot 115 degrees is equivalent to?

cot(115º) = -tan(25) or cot(115º) = -0.466308


What is the cotangent of 360 degrees?

cot(360°) = cot(0°) = tan(90°) = ∞


What is cot theta divided by tan theta plus one equal?

whats the big doubt,cot/tan+1= 1+1= 2


The function cot 115 degrees is equivalent to A -tan 60 degrees B -tan 25 degrees C tan 25 degrees D tan 65 degrees?

cot 115 deg = - tan25 deg


What is the reciprocal of the tangent?

The reciprocal of the tangent is the cotangent, or cot. We might write 1/tan = cot.


Cos2x equals 1 minus tan squared x divide by1 plus tan squared x?

The Answer is 1 coz, 1-Tan squarex = Cot square X. So cot square x divided cot square x is equal to 1


If tan Theta equals 2 with Theta in Quadrant 3 find cot Theta?

Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.


Find the cot of a 32 degree angle?

cot 32° = 1/(tan 32°) = 1/(0.6249) = 1.6003


What are the different types of number system in scientific calculator?

tan cot sec cosec sin cos cot


How can arccot of tanx be simplified?

There is not much that can be done by way of simplification. Suppose arccot(y) = tan(x) then y = cot[tan(x)] = 1/tan(tan(x)) Now cot is NOT the inverse of tan, but its reciprocal. So the expression in the first of above equation cannot be simplified further. Similarly tan[tan(x)] is NOT tan(x)*tan(x) = tan2(x)


What is the exact trigonometric function value of cot 15 degrees?

cot(15)=1/tan(15) Let us find tan(15) tan(15)=tan(45-30) tan(a-b) = (tan(a)-tan(b))/(1+tan(a)tan(b)) tan(45-30)= (tan(45)-tan(30))/(1+tan(45)tan(30)) substitute tan(45)=1 and tan(30)=1/√3 into the equation. tan(45-30) = (1- 1/√3) / (1+1/√3) =(√3-1)/(√3+1) The exact value of cot(15) is the reciprocal of the above which is: (√3+1) /(√3-1)