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triangle PQR with side p across from angle P, side q across from angle Q, and side r across from angle R If ∠P is given as well as the values of p, q, and r, then explain whether the Law of Sines or the Law of Cosines should be used to solve for ∠Q.

A. Law of Cosines, two sides, and the opposite angle are known

B. Law of Cosines, all sides are known

C. Law of Sines, two angles and an opposite side are known

D. Law of Sines, two sides and an included angle are known

BRAINLIEST!!!triangle PQR with side p across from angle P, side q across from angle Q, and side r across from angle R If ∠P is given as well as the values of p, class=

Answer :

calculista

Answer:

Option D. Law of Sines, two sides and an included angle are known

Step-by-step explanation:

In this problem, two sides and an included angle are known, so the law of Sines should be use to solve for ∠Q.

we know that

Applying the law of sines triangle PQR

[tex]\frac{p}{Sin(P)}=\frac{q}{Sin(Q)}[/tex]

solve for Sin(Q)

[tex]Sin(Q)=\frac{q}{p}Sin(P)[/tex]

[tex]Q=Sin^{-1}(\frac{q}{p}Sin(P))[/tex]

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