Write expression that gives the required unknown value.
1. If a = 8 and c = 12, find B.
Answer:
2. If a = 13 and B = 16°, find c.
3. If A = 15° and c = 37, find a.
1_________________
cosB=accosB=812B=arccos(812)cosB = \frac{a}{c}\\ cosB = \frac{8}{12}\\ B = arccos(\frac{8}{12})cosB=cacosB=128B=arccos(128)
2_________________
cosB=acc=acosBc=13cos16°cosB = \frac{a}{c} \\ c = \frac{a}{cosB}\\ c = \frac{13}{cos16°}cosB=cac=cosBac=cos16°13
3_________________
sinA=aca=c×sinAa=37×sin15°sinA =\frac{a}{c}\\ a = c×sinA\\ a = 37×sin15°sinA=caa=c×sinAa=37×sin15°
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