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PENANG FREE SCHOOL MATHEMATICS ELECTIVES- ADDITIONAL MATHEMATICS DAVID CHNG YEANG SOON. Try the following Questions. The answers are provided at the end of the questions. Topic 5 Easy. Name: ……………………………………….. Class:………………….. 1. Find all the values of x that satisfy the trigonometric equation 6 sin x cos x = 2 cos x [4 marks] for 0 ≤ x ≤ 360. 2. Find all the values of x that satisfy the trigonometric equation 11 sin x cos x = 6 cos x [4 marks] for 0 ≤ x ≤ 360. 3. Find all the values of x that satisfy the trigonometric equation 6 sin x cos x = 2 cos x [4 marks] for 0 ≤ x ≤ 360. 4. Solve the equation sin x = 1 for 0 ≤ x ≤ 2 2 [2 marks] 5. Solve the equation sin x = 1 for 0 ≤ x ≤ 2 2 [2 marks] 6. 7. 8. 9. Solve the equation cos x 1 = for 0 ≤ x ≤ 2 2 2 [2 marks] Given cos x = 0.6 and 0 ≤ x ≤ 180. Without using calculator, find the value of (a) tan (x + 405), [4 marks] (b) cot x sin x. Solve the equation cos x 1 = for 0 ≤ x ≤ 2 6 2 [2 marks] Solve the equation cos x 1 = for 0 ≤ x ≤ 2 2 2 [2 marks] 10. Given cos x = 0.8 and 0 ≤ x ≤ 180. Without using calculator, find the value of (a) tan (x + 225), [4 marks] (b) cot x sin x. 11. Given cos x = 0.6 and 0 ≤ x ≤ 180. Without using calculator, find the value of (a) tan (x + 225), [4 marks] (b) cot x sin x. 12. Solve the equation sin x = Answers: 1. 19.47, 90°, 160.53, 270° 2. 33.06, 90°, 146.94, 270° 3. 19.47, 90°, 160.53, 270° 4. 7 11 or 6 6 5. 7 11 or 6 6 6. 2 3 7. 1 (a) 7 (b) 31 20 8. 2 9. 4 3 10. (a) 1 7 (b) 29 15 (a) 1 7 (b) 31 20 11. 12. 5 or 6 6 1 for 0 ≤ x ≤ 2 [2 marks]