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If Cos(A+B)/cos(A-B) =sin(C+D)/sin(C-D). Prove that tanA …

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If Cos(A+B)/cos(A-B) =sin(C+D)/sin(C-D). Prove that tanA tanB tanC + tanD=0
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Daksh Khosla 5 years, 8 months ago

cos(a+b) sin(c-d) = cos(a-b) sin(c+d)

( cosAcosB - sinAsinB) (sincCosD- cosC sinD) = ( cosAcosB + sinAsinB) (sincCosD+ cosC sinD)

- cosA cosBcosCsinD - sinA sinB sinC cosD = cosA cosB cosC sinD + sinA sinB sinC cosD

2 cosA cosBcosCsinD + 2sinA sinB sinC cosD=0

sinA sinB sinC cosD = - cosA cosBcosCsinD

tanA tanB tanC = - tanD

tannA tanB tanC + tanD =0
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