TRIANGLES SPHÉRIQUES RECTANGLES

cosC = cotatang^. tangC= coséc^tangc tangC= sécacotB.

cosB = cosfcsinC.

cosc = cosécBcosC.

cosc = cosa séc£ , sin B = coséc a sin b ,

cos a = cos b cosc , tang B = tang 6 coséc c,

sin b = sin a v sin B , tangc = tang a cos B ,

cota = cot& cosC, tangc = sin& tangC,

cos a = cot B co t C , cos b = cos B coséc C ,

TRIANGLES SPHÉRIQUES RECTILATÈRES.

cosC = — cosAsécB, sin£ = coséc AsinB, cosc =— cotAtangB. tang b = tangB coséc C, tang C = — tang A cos b, tangC= sinB tangc, cosB =cos6 coséc c,

cos A = — cosB cosC, sin B = sin A sin b, cot A = — cot B cos c, cos A = — cot 6 cote,

tangc = coséc B tangC .

tangc =— sécAcot&.

cos b — cos B sine.

cosC = coséc b cosc.

TRIANGLES SPHERIQUES OBLIQUANGLES.

. sin {p - a) sin (p - 6)sin [p-c) tanK^A = ^ ? -

sin/?

tang 2 |P = tang^/>tangi(/>- a) tangj (p-

6) tang -H/? -c), cot j a =

sin(p

S = —ttR'

, sin(A - P) sin (B - P) sin (C - P) P ~ iînT ' ™ 3 " sin(A-P)

tangi(B + C) = S|^5cotU ï tâDg*(B-C) = gJ^cot*A,

cot^a =

cos j (B — Q coâi(B-hC)

eol ^ A+c » = iîilT§ colitt - t) -