Chapter 10: Sine and Cosine Formulae and Their Applications – Exercise 10.1
Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.1
∠A = 45°,∠B = 60° and ∠C = 75°
Using sine rule,
Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.2
∠C = 105°, ∠B = 45°, a = 2
From here we can calculate that
∠A = 30°
a sin B = b sin A
⟹ 2sin 45 = b sin 30
Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.3
a = 18, b = 24, c = 30, ∠C = 90°
Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.4
Let a = k sin A, b = k sin B (Using sine rule)
LHS
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Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.5
Let a = k sin A, B = k sin B, c = k sin C
LHS,
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Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.6
LHS,
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= RHS
Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.7
LHS,
.png "Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.7(i)")
= RHS
Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.8
Let a = k sin A, b = k sin B, c = k sin C
LHS,
.png "Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.8(i)")
Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.9
Let a = k sin A, b = k sin B, c = k sin C
RHS,
.png "Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.9(i)")
Sine and Cosine Formulae and Their Applications – Exercise 10.1 – Q.10
LHS,
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