Download Armies of the Night (Twilight: 2000) by Jr. Keith William H., Loren Wiseman PDF
By Jr. Keith William H., Loren Wiseman
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Extra resources for Armies of the Night (Twilight: 2000)
Example text
MEI, 04/04/07 1/1 MEI Core 2 Trigonometry Section 4: Circular measure Solutions to Exercise 1. (i) 3 2 3 and solutions are in the first and second quadrants sin 3 2 sin so 3 or 2 or 3 3 (ii) 3 3 2 3 and solutions are in the second and third quadrants cos 6 2 cos so or 6 5 7 or 6 6 6 (iii) tan 3 tan 3 so 3 and solutions are in the first and third quadrants 3 or 4 or 3 3 2.
The angle of elevation of a bridge is 10°. After 10 minutes the angle of elevation is 15°. After how much longer does the barge reach the bridge? Give your answer to the nearest second. © MEI, 04/04/07 1/1 Core 2 Trigonometry Section 3: The sine and cosine rules Solutions to Exercise 1. 44 cm b= sin 72° b 2. 9 cm sin 30° c © MEI, 04/04/07 1/5 Core 2 3. 5° . 4. 8° © MEI, 04/04/07 2/5 Core 2 5. 1 cm 2 6. 41 cm 7. 4° Using sine rule: B 8. 4 m from the hole. Using the cosine rule: 9. 64 m 10. 5° Using the sine rule: = 11.
Be careful not to lose accuracy through rounding Make sure you never round a number until you reach your final answer. © MEI, 12/04/05 1/1 Core 2 Trigonometry Section 3: The sine and cosine rules Exercise 1. Solve the triangle ABC in which A = 66°, B = 42° and c = 12 cm. 2. Find two possible values of c in triangle ABC given that a = 16 cm, b = 10 cm, and B = 30°. 3. Solve the triangle ABC in which a = 6 cm, b = 9 cm and C = 97°. 4. Solve the triangle PQR in which p = 8 cm, q = 9 cm and r = 10 cm.