Question
Verify the identities please.
1.) TAN(X+π)-TAN(π-X)= 2 TAN X
2.) SIN(X+Y)+SIN(X-Y)= 2 SIN X COS Y
1.) TAN(X+π)-TAN(π-X)= 2 TAN X
2.) SIN(X+Y)+SIN(X-Y)= 2 SIN X COS Y
Answers
1. by the CAST rule
tan(π+Ø) = tanØ
tan(π-Ø) = -tanØ
LS = tan(x+π) - tan(π-x)
= tanx - (-tanx)
= 2tanx
= RS
2. again one of the standard identities used on the LS
LS = sinxcosy + cosxsiny + sinxcosy - cosxsiny
= 2sinxcosy
= RS
btw, 2sinxcosy = sin (2x) which would be a simplification of the RS
tan(π+Ø) = tanØ
tan(π-Ø) = -tanØ
LS = tan(x+π) - tan(π-x)
= tanx - (-tanx)
= 2tanx
= RS
2. again one of the standard identities used on the LS
LS = sinxcosy + cosxsiny + sinxcosy - cosxsiny
= 2sinxcosy
= RS
btw, 2sinxcosy = sin (2x) which would be a simplification of the RS
AWESOME! SUPERB! I had it right when you provided support. THANKS!
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