SOLUTION: Verify the identity. (1/cosx+1) + (1/cosx-1) = -2cscx cot x

Algebra.Com
Question 1076620: Verify the identity.
(1/cosx+1) + (1/cosx-1) = -2cscx cot x
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Verify the identity.
(1/cosx+1) + (1/cosx-1) = -2cscx cot x
------
Multiply thru by cos^2(x)-1 to get:
Note:: cos^2(x)-1 = -sin^2(x)
-------------------------------------
cos(x)-1 + cos(x)+1 = (-sin^2(x))(-2csc(x)cot(x))
----
2cos(x) = 2*sin(x)cos(x)
-------
Ans:: Not an identity
----------------
Cheers,
Stan H.
------------------
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Verify the identity.
(1/cosx+1) + (1/cosx-1) = -2cscx cot x


Left side:  ------ Multiplying by LCD, (x + 1)(x - 1)

            

             ------- Substituting 

             =======>  =======>  =======>  (Same as RIGHT side so this has been proven) 

RELATED QUESTIONS


Verify the identity:... (answered by scott8148)

verify the identity algebraically

(1+cos x)/sin x + sin x/(1+cosx) =... (answered by Alan3354)

Verify that (sinx)/(1-cosx)+(1-cosx)/sinx =... (answered by mouk)

Verify the... (answered by lwsshak3)

 verify the identity cosx/1+sinx + cosx/1-sin... (answered by Alan3354)

1+cosx /sinx + sinx / 1+cosx =

2sinx
2cscx
2secx
2cosx


 (answered by solver91311)

Cosx/1-sinx - sinx/cosx = 1/cosx

Prove the... (answered by Alan3354)

Prove the identity:

Cosx/1-sinx - sinx/cosx = 1/cosx



 (answered by Alan3354)

verify the identity

(1-sinx)-------(cosx)
_______ = ______... (answered by Alan3354)