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Mathematics
Mathematics
Problem
9. In triangle
A
B
C
A B C
A
B
C
, right-angled at
B
B
B
, if
tan
A
=
1
3
\tan A=\frac{1}{\sqrt{3}}
tan
A
=
3
1
, find the value of: (i)
sin
A
cos
C
+
cos
A
sin
C
\sin \mathrm{A} \cos \mathrm{C}+\cos \mathrm{A} \sin \mathrm{C}
sin
A
cos
C
+
cos
A
sin
C
(ii)
cos
A
cos
C
−
sin
A
sin
C
\cos \mathrm{A} \cos \mathrm{C}-\sin \mathrm{A} \sin \mathrm{C}
cos
A
cos
C
−
sin
A
sin
C
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