1. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:
(i) sin A, cos A
(ii) sin C, cos C
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Answer:
Step-by-step explanation:
In Δ ABC, right-angled at B
Using Pythagoras theorem
AC² = AB² +BC²
AC² = 576 + 49 = 625
AC = √635
AC = ±25
AC\:=\:+ 25
Now
(i) In a right angle triangle ABC where B=90° ,
Sin A = \frac{BC}{AC}
= \frac{7}{25}
CosA = \frac{AB}{AC}
= \frac{24}{25}
ii) Sin C = \frac{AB}{AC}
= \frac{24}{25}
Cos C = \frac{BC}{AC}
= \frac{7}{25}
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