SOLUTION: Prove that: tan(45-x) = 1-tanx/1+tanx

Algebra.Com
Question 976580: Prove that:
tan(45-x) = 1-tanx/1+tanx
Found 2 solutions by Edwin McCravy, FrankM:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Use the identity:



substituting: A = 45°, B = x, and tan(45°) = 1

Edwin
Answer by FrankM(1040)   (Show Source): You can put this solution on YOUR website!
There is an identity for Tangent of the difference of 2 angles -

here, A = 45, B = x, let's substitute :

and one of the tan values I know by heart is tan 45 = 1. I hope you know this.




RELATED QUESTIONS

1+ tanx / 1- tanx=?... (answered by lwsshak3)
Prove that (tanx)/(1+tanx)=... (answered by mananth)
Prove that (tanx)/(1+tanx)=... (answered by mananth)
Prove that (tanx)/(1+tanx)=... (answered by mananth)
Prove that (tanx)/(1+tanx)=... (answered by josgarithmetic,math_tutor2020)
prove that{{{ (secX-cosecX)/(secX+cosecX)}}}... (answered by Boreal)
prove that (sinx-1)(tanx+secx)=... (answered by lwsshak3)
Prove that... (answered by erica65404)
Prove that sinxtanx + sinx/tanx=... (answered by amarjeeth123,josgarithmetic,MathTherapy)