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verify that equation is an identity:

1. sin(A+π) = -sinA

2. tan(x+45) = (1 + tanx) / (1 - tanx)

 May 19, 2018
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verify that equation is an identity:

It depends on what you are allowed to use to verify it.... but..

 

1. sin(A+π) = -sinA

\(LHS=sin(A+\pi)\\ LHS=sinAcos\pi+cosAsin\pi \\ LHS=(sinA*-1)+(cosA*0)\\ LHS=-sinA\\ LHS=RHS\\ QED \)

 

 

2. tan(x+45) = (1 + tanx) / (1 - tanx)

 

\(LHS\\ =tan(x+45)\\ =\frac{tanx+tan45}{1-tanxtan45}\\ =\frac{tanx+1}{1-tanx}\\ =\frac{1+tanx}{1-tanx}\\ =RHS\\ QED \)

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 May 19, 2018

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