Mathematics · Oct / Nov 2021 · Paper 42 · Question 3
0580
As printed in the paper
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3(a)(i)[2]
AD = tan 64 oe or better 46.1 94.51 to 94.52 [2]
M1 A1
3(a)(ii)[3]
46[.0] or 45.96… nfww [3]
M2 for 56.5 × sin94 78.4 oe 56.5 78.4
or M1 for = oe sin BAC sin94
3(a)(iii)[4]
102.3 or 102.4 or 102.34 to 102.38 [4]
M2 for [cosC = ] 38.6 2 + 78.4 2 − 94.5 2 × × 2 38.6 78.4
or M1 for 2 = 2 + 2 − × × × 94.5 38.6 78.4 2 38.6 78.4 cos C and
A1 for –0.214 or –0.2144 to –0.2137 If 0 scored,
SC2 for [CAD =] 23.5 or 23.51 to 23.52 or for [CDA =] 54.1 or 54.14…
3(b)[3]
16.2 or 16.15… [3]
M2 for 1 1 × × = × × d 21.5 27.6sin111 34.3 2 2 oe
or M1 for 1 2 × 21.5 27.6sin111 × seen or 1 2 × × d oe soi 34.3
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