2026 April(R4A) Math Question 31
Trigonometry
- Advanced sin, cos, tan functions
The third angle is ∠D=180∘−45∘−73∘=62∘\angle D = 180^\circ - 45^\circ - 73^\circ = 62^\circ∠D=180∘−45∘−73∘=62∘.
Side FE=13FE = 13FE=13 is opposite ∠D\angle D∠D, and DE=xDE = xDE=x is opposite ∠F=73∘\angle F = 73^\circ∠F=73∘. By the Law of Sines: sin62∘13=sin73∘x\frac{\sin 62^\circ}{13} = \frac{\sin 73^\circ}{x}13sin62∘=xsin73∘
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