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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, right-angled at
B
B
B
, angle
A
A
A
is acute and
tan
A
=
3
4
\tan A = \dfrac{3}{4}
tan
A
=
4
3
. The side
B
C
BC
B
C
is 9 cm long. a. (i) Find the lengths of
A
B
AB
A
B
and
A
C
AC
A
C
. b. (ii) Using the results of part (i), calculate
sin
A
\sin A
sin
A
and
cos
A
\cos A
cos
A
. c. (iii) Verify that
sin
2
A
+
cos
2
A
=
1
\sin^{2}A + \cos^{2}A = 1
sin
2
A
+
cos
2
A
=
1
with the values obtained.
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