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Which of the following cannot be derived from the law of sines?

A.) b/sinB=sinA/a

B.) a*sinB=b*sinA

C.) sinC/sinA=c/a

D.) c*sinA=a*sinC

2 Answers

3 votes
A.) b/sinB=sinA/a. hope it helps
User CryptoJones
by
8.2k points
2 votes

Answer:


(b)/(SinB)=(SinA)/(a)

Explanation:

Sine Rule =
(Sin A)/(a) =(Sin B)/(b)=(Sin C)/(c)

a)
(b)/(SinB)=(SinA)/(a)

Sine rule is
(Sin A)/(a) =(Sin B)/(b)


(b)/(Sin B) =(a)/(Sin A)

Thus Option 1 cannot be derived from the law of sines

b)
a* sinB=b* sinA

Sine rule is
(Sin A)/(a) =(Sin B)/(b)


(b)/(Sin A) =(a)/(Sin B)

Thus Option B can be derived from the law of sines.

c)
(Sin C)/(SinA)=(c)/(a)

Sine rule is
(Sin A)/(a) =(Sin C)/(c)


(c)/(a) =(SinC)/(Sin A)

Thus Option C can be derived from the law of sines.

d)
c * sinA=a* sinC

Sine rule is
(Sin A)/(a) =(Sin C)/(c)


c * sinA=a* sinC

Thus Option C can be derived from the law of sines.

Hence Option A cannot be derived from the law of sines


(b)/(SinB)=(SinA)/(a)

User David Lechner
by
8.5k points
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