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Topic Content:
- Solving Right Angle Triangles
Recall in trigonometric ratios, the Hypotenuse is unique, facing the right angle (90º), however, the Opposite and Adjacent sides depend on the angle (θ) under consideration.
For example, side AB is Adjacent in Fig. 4.1.1 while it is the Opposite side in Fig. 4.1.2.
In Figure 4.1.1 and Figure 4.1.2:
Sin B = \( \frac{Opp}{Hyp} = \frac{b}{a} \)
Cos B = \( \frac{Adj}{Hyp} = \frac{c}{a} \)
Tan B = \( \frac{Opp}{Adj} = \frac{b}{c} \)
Sin C = \( \frac{Opp}{Hyp} = \frac{c}{a} \)
Cos C = \( \frac{Adj}{Hyp} = \frac{b}{a} \)
Tan C = \( \frac{Opp}{Adj} = \frac{c}{b} \)
In ΔABC, B and C are complementary angles (i.e. B + C = 90º)
As seen above, if B = θ, then C = 90 – θ
Therefore,
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it is hard at first but its all good 🤓