SOLUTION: 1)If sinA=sinB and cosA=cosB then A=______. 2)If (1+tan x)(1+tan y)=2 then x+y=_____. 3)If tanx+tan(60�+x)+tan(120�+x)=3 then x=_____

SOLUTION: 1)If sinA=sinB and cosA=cosB then A=____. 2)If (1+tan x)(1+tan y)=2 then x+y=_. 3)If tanx+tan(60�+x)+tan(120�+x)=3 then x=____. 4)1+ sinx +sin^2x..........=4

Question 985872: 1)If sinA=sinB and cosA=cosB then A=______.

2)If (1+tan x)(1+tan y)=2 then x+y=_____.
3)If tanx+tan(60�+x)+tan(120�+x)=3 then x=______.
4)1+ sinx +sin^2x..........=4+2√3,0 5)The values if x in (-Π,Π) which satisfy the equation 8^(1+|cos x|+|cos^2x|+|cos^3x|+........).

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

1)If sinA=sinB and cosA=cosB then A=B or else they differ by  or 
 

Since the period of sine and cosine is  or 360�, the general solution is 
 or A = B + 360�n, where n is any integer   

2)If 
 then _____.

FOIL out the left side:

If we remember our identities and also notice that we are 
asked to find x+y, and notice that there are tangents in
the problem and then we we think of the identity we 
have memorized for tan(x+y)

We recognize some of the terms in our equation are like some
of the terms in that identity so let's get tan(x)+tan(y) alone
on the left side since that's the numerator of the right side
of that identity:




Well what do you know! the right side is just the denominator 
of the right side of that identity: 
So we divide both sides by the right side:    
 
  
The left side is the left side of that identity and the right side is 1. 
So we have


Since the period of the tangent is  or 180�
x+y =  or 45�+180�n, where n is any integer, positive,
negative, or zero. 

Limit: 2 problems

Edwin

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SOLUTION: 1)If sinA=sinB and cosA=cosB then A=______. 2)If (1+tan x)(1+tan y)=2 then x+y=_____. 3)If tanx+tan(60�+x)+tan(120�+x)=3 then x=______. 4)1+ sinx +sin^2x..........=4

SOLUTION: 1)If sinA=sinB and cosA=cosB then A=____. 2)If (1+tan x)(1+tan y)=2 then x+y=_. 3)If tanx+tan(60�+x)+tan(120�+x)=3 then x=____. 4)1+ sinx +sin^2x..........=4