We're not sure how you wrote the question.If you wrote it as a subtraction: [ cosecant minus 1 ] = sine, then no, that's false.If you wrote it as an exponent: [ cosecant to the -1 power ] = sine, then yes, that's true.1 / csc(x) = sin(x)
cot(x)=1/tan(x)=1/(sin(x)/cos(x))=cos(x)/sin(x) csc(x)=1/sin(x) sec(x)=1/cos(x) Therefore, (csc(x))2/cot(x)=(1/(sin(x))2)/cot(x)=(1/(sin(x))2)/(cos(x)/sin(x))=(1/(sin(x))2)(sin(x)/cos(x))=(1/sin(x))*(1/cos(x))=csc(x)*sec(x)
Express the cosecant in terms of sines and cosines; in this case, csc x = 1 / sin x. This can also be written as (sin x)-1. Remember that the derivative of sin x is cos x, and use either the formula for the derivative of a quotient (using the first expression), or the formula for the derivative of a power (using the second expression).
cosecant of C + cosecant of D = -2 sine of (C+D)/2 X sine of (C - D)/2
cot(x) = sqrt[cosec^2(x) - 1]
yes 1 + cot x^2 = csc x^2
We're not sure how you wrote the question.If you wrote it as a subtraction: [ cosecant minus 1 ] = sine, then no, that's false.If you wrote it as an exponent: [ cosecant to the -1 power ] = sine, then yes, that's true.1 / csc(x) = sin(x)
-240
csc(x) = 1/sin(x) = +/- 1/sqrt(1-cos^2(x))
It is 2*pi radians.
cot(x)=1/tan(x)=1/(sin(x)/cos(x))=cos(x)/sin(x) csc(x)=1/sin(x) sec(x)=1/cos(x) Therefore, (csc(x))2/cot(x)=(1/(sin(x))2)/cot(x)=(1/(sin(x))2)/(cos(x)/sin(x))=(1/(sin(x))2)(sin(x)/cos(x))=(1/sin(x))*(1/cos(x))=csc(x)*sec(x)
1/sin x = csc x
Express the cosecant in terms of sines and cosines; in this case, csc x = 1 / sin x. This can also be written as (sin x)-1. Remember that the derivative of sin x is cos x, and use either the formula for the derivative of a quotient (using the first expression), or the formula for the derivative of a power (using the second expression).
cosecant(x) = 1/sin(x)
It is a single trigonometric equation in 2 variables. It cannot be solved without further information.
The derivative of csc(x) is -cot(x)csc(x).
It's easiest to show all of the work (explanations/identities), and x represents theta. cosxcotx + sinx = cscx cosx times cosx/sinx + sinx = csc x (Quotient Identity) cosx2 /sinx + sinx = csc x (multiplied) 1-sinx2/sinx + sinx = csc x (Pythagorean Identity) 1/sinx - sinx2/sinx + sinx = csc x (seperate fraction) 1/sinx -sinx + sinx = csc x (canceled) 1/sinx = csc x (cancelled) csc x =csc x (Reciprocal Identity)