GCSE Grade B Trigonometry Exam Questions



GCSE Grade B Trigonometry Exam Questions

1. (a) BD = 5sin49º = 3.77354 M1

= 3.8 A1

(b) for working on DBC M1

tanDBC = 4.5/3.77354 M1

∠ DBC = 50.02° 50.01 or 50 A1

∠ ABC = 41° + 50.02° = 91.02° B1

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2. (a) 4 or 4.3 or 4.33 (metres) M1

(b) 78 (.5)° M1

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3. (a) (i) For showing that angle LAN = 180 – (180 – 136) – 90 = 44 M1

For showing that x = 180 – 90 – 44 = 46° A1

(ii) 226° or S 46° W B1

Allow 227°, for measuring

(b) LH2 = 1502 = 802 M1

LH = 170 A1

(c) (i) tan y = 80/150 or sin y = 80/170 or cos y = 150/170 M1

y = 28.1° must come from trig. A1

Accept 28° and also 28.07°

(ii) 360 – [180 – 90 – y – x] or 360 – [180 – 136 – y] M1

360 – [180 – 90 – 28.1 – 46] 360 – [180 – 136 – 28.1]

344.1 or N 344.1 W 344.1 345° B1 A1

Accept 344° and also N 16° W

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4. (a) [pic] = 10.3 ( or 10.29, √106) M1 A1

(b) angle DAE = angle ACB and both Two pairs of equal angles B1

triangles are right angled must be identified.

(c) AD = 9 × 3/5 = 5.4cm M1 A1

(d) DC = 4.9 cm B1

tan x = 4.9/3 or (their DC)/3 M1 A1

x = 58.5º A1 cao

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