SOLUTION: Prove the identity: {{{cot^""(A)}}}{{{""-""}}}{{{tan^""(A)}}}{{{""=""}}}{{{2cot^""(2A)}}}

Algebra.Com
Question 1056804: Prove the identity:

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!



Work with the right side:







Use formula for tan(2A)



Invert the second and multiply:







Break into two fractions:







Edwin

RELATED QUESTIONS

prove the identity [cot(X) + cot(Y)] / [tan(X) + tan(Y)] = cot(X)cot(Y) (answered by Alan3354)
Prove that it is an identity 1) tan (1/2) A = csc A - cot... (answered by Gogonati)
Prove the identity: Sin2x (tan x + cot x) = 2... (answered by lwsshak3)
Prove the identity cot A =... (answered by Edwin McCravy)
tan A + cot A=2cossec... (answered by solver91311)
Cot x + tan x = 2 csc2x Prove the following is an identity. Having a difficult time... (answered by lwsshak3)
If we establish an identity: (tan A - cot A/tan A + cot A) would equal... (answered by jojo14344)
Prove the following is an Identity: Tan (X) - Cot (X) over Tan (X) + Cot (X) = 2sin^2... (answered by narayaba)
Prove the identity. sin (A+B) / sin (A-B) = tan A + tan B/ tan A - tan... (answered by amarjeeth123)