1. In A ABC, right-angled at B, AB = 24 cm, BC = 7cm. Determine:
(1) sin A, cos A
(ii) sin C, cos C
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The Triangle and Its Properties
Recalling Basics of Triangles and Its Types
In a Δ ABC, right angled at...
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Asked on December 26, 2019 by
Pranjali Sravani
In a ΔABC, right angled at B, AB=24 cm, BC=7 cm. Determine
(i) sinA,cosA
(ii) sinC,cosC
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ANSWER
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In Δ ABC, B is at right angle.
Given, AB=24cm
BC=7cm
using Pythagoras theorem
AB
2
+BC
2
=AC
2
⇒(24)
2
+(7)
2
=AC
2
⇒AC=
(24
2
)+(7)
2
=
576+49
=
625
⇒AC=25CM
(i)sin A=
AC
BC
=
25
7
cos A=
AC
AB
=
25
24
(ii)sin C=
AC
AB
=
25
24
cos c=
AC
BC
=
25
7
I hope you understand my answer
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