Question

1. In A ABC, right-angled at B, AB = 24 cm, BC= 7cm. Determine:
(i) sin A, cos A
(ii) sin C, cos C
please send me the answer quickly
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Answer 1

Answer:

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Answer 2

Answer:

(i a) sinA = 7/25

(i b) cosA = 24/25

(ii a) sinC = 24/25

(ii b) cosC = 7/25

Step-by-step explanation:

Given a right triangle ABC right angled at B => hypotenuse is AC

also given AB = 24cm, and BC=7cm

By pythogorean theorem,

AC² = AB² + BC²

=> AC² = 24²+7²

=> AC² = 576+49

=> AC²=625

=> AC=√625 = 25cm

Now,

Take the angle is at A => opposite side is BC and adjacent side is AB

so, (i) sinA = opp/hyp = BC/AC = 7/25

     (ii) cosA = adj/hyp = AB/AC = 24/25

Taking the angle at C implies opposite side is AB and adjacent side is BC

so, (i) sinC = opp/hyp = AB/AC = 24/25

     (ii) cosC = adj/hyp = BC/AC = 7/25