SOLUTION: Verify the identity: {{{tan2(x)tan(x)+2=(tan2(x))/(tan(x))}}}

Algebra.Com
Question 882793: Verify the identity:

Answer by Leaf W.(135)   (Show Source): You can put this solution on YOUR website!
Wow! Congratulations; you are one of the very few people (maybe the first person I have ever seen!) to actually use the formula notation! Thank you; it makes it easier for us that way. ;-)
---
Let us first work from the left side and see if we can get to the right side. First, use the formula for tan(2x) ():



---
Now, create a common denominator with 2 and combine:





---
Therefore, we now have . Let us now work from the right side:



---
That is the same as the left side, so we are now left with the true statement -- the identity is verified. I hope this helps! =D

RELATED QUESTIONS

tan2... (answered by tommyt3rd)
tan2=4/x (answered by Alan3354)
Verify the identity: tan(2 tan^-1 x)= 2 tan (tan^-1 x + tan^-1... (answered by Edwin McCravy)
Verify the identity.... (answered by lwsshak3)
Verify the identity. cot (x- (pi/2)) = -tan... (answered by Boreal)
verify the identity... (answered by scott8148)
verify the identity. Sec^2(x)Tan^2(x)+ Sec^2(x)=... (answered by lynnlo)
Verify following is an identity. tan^2(x)+1= (tan(x)/(cos(x))(sin(x)) (answered by lwsshak3)
Verify the identity. tan^2 x/2 = sec x-1/sec... (answered by lwsshak3)