SOLUTION: sin(x+y)-2sinx+sin(x-y)/cos(x+y)-2cosx+cos(x-y)= tan x

Algebra.Com
Question 151205: sin(x+y)-2sinx+sin(x-y)/cos(x+y)-2cosx+cos(x-y)= tan x
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


We need these four identities to use on the left side:








Cancel positive and negative like terms
in numerator and in denominator:





Combine like terms:



Factor out  in the top and  in the
bottom:



Cancel the 's and the 's.





Then use identity 



Edwin
RELATED QUESTIONS

Simplify cos(x)cos(y) +... (answered by Edwin McCravy)
Verify the identity. (cos(x) - cos(y))/(sin(x) + sin(y)) + (sin(x) - sin(y))/(cos(x) + (answered by solver91311)
Simplify... (answered by addingup)
How do you Verify the identities:... (answered by stanbon)
If ( cos x+ isin x )(cos y+ isin y) = cos (y+x) + isin (y+x) Find the formula: Sin... (answered by ikleyn)
sin(x+y)=sin(x)cos(y)+sin(y)cos(x) 20 sin(x)+21... (answered by Edwin McCravy)
Can you help me please ;Given; sin (x+y) = sin x cos y + cos x sin y and cos (× + y)= (answered by Boreal,solver91311)
if x+y=90 degrees which of the following is true? sin x = sin y tan x = tan y sin x (answered by solver91311)
cos(sin^−1(x) −... (answered by stanbon)