Asked by Riley
Prove sinA/1+cosA =tan1/2A
Answers
Answered by
Reiny
did you mean:
sinA/(1+cosA) = tan (1/2)A ?
Let tan (1/2)A = tanx
then we can write our equation as
sin 2x/(1 + cos 2x) = tanx
LS = 2sinxcosx/(sin^x + cos^2x + cos^2x - sin^2x)
= 2 sinxcosx/2cos^2x
= sinx/cosx
= tanx
= RS
sinA/(1+cosA) = tan (1/2)A ?
Let tan (1/2)A = tanx
then we can write our equation as
sin 2x/(1 + cos 2x) = tanx
LS = 2sinxcosx/(sin^x + cos^2x + cos^2x - sin^2x)
= 2 sinxcosx/2cos^2x
= sinx/cosx
= tanx
= RS
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