First: note 3 things about cot and tan, and note the given statement:
Now apply them to the problem:
Thus:
cot(π - π/4) = -1.
For an angle, ?, the cotangent (or cot) of the angle is given bycot ? = 1/tan ?If ?=65
cot(115º) = -tan(25) or cot(115º) = -0.466308
Cot(90) = 0 so 1/cot(90), if defined, would be 1/0. Such a fraction is not defined and that is what is wrong with the sentence.
tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2
Cot x is 1/tan x or cos x / sin x or +- sqrt cosec^2 x -1
1/ Tan = 1/ (Sin/Cos) = Cos/Sin = Cot (Cotangent)
either cos OR tan-sin equals zero socos=0 at pi/2 and 3pi/2ortan=sin which is impossibleim not sure though
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.
Yes.
Yes, it is.
Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.
The Answer is 1 coz, 1-Tan squarex = Cot square X. So cot square x divided cot square x is equal to 1
It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.
For an angle, ?, the cotangent (or cot) of the angle is given bycot ? = 1/tan ?If ?=65
You cannot because cot(0) is not defined, neither is cosec(0).
It just simplifies down to 1=1. You have to use your trig identities... tan=sin/cos cot=cos/sin thus tan x cot= (sin/cos) (cos/sin) since sin is in the numerator for tan, when it is multiplied by cot (which has sin in the denominator) both of the signs cancel and both now have a value of 1. The same happens with cos. so you get 1 x 1=1 so there is your answer. just learn your trig identities and you will understand
cot(115º) = -tan(25) or cot(115º) = -0.466308