Asked by AwesomeGuy
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
Answered by
Reiny
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
Answered by
AwesomeGuy
AWESOME! SUPERB! I had it right when you provided support. THANKS!
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.