Nội dung text TRIGONOMETRY - 1.pdf
TRIGONOMETRY - 1 WORKSHEET 01 CUQ 1. The opposite side a) Adjacent side b) cosec θ = c) opposite side d) sec θ 2. The Reciprocal of Cot θ is b) opp Adj c) Hyp Opp d) Hyp Adj 3. If the terminal side completes one revolution about its vertex, then the angle made is a) 90∘ b) 360∘ c) 180∘ d) 270∘ 4. 1 right angle is a) π c b) 2π c c) π c 2 d) 3π c 5. The circular measure π 6 in Sexagesimal measure is a) 60∘ b) 90∘ c) 30∘ d) 120∘ 6. The centesimal measure 500 g as circular measure is a) 3π c 2 b) 2π c c) 3π c 4 d) 5π c 2 7. The unit of measurement of an angle in cir- cular system is a) radian b) grade c) degree d) None 8. If 5sin θ = 3, then cos θ = a) 5 4 b) 4 5 c) 3 4 d) 5 3 9. In △ ABC, B = 90∘ , AB = 4 cm, BC = 3 cm, then sin A = a) 5 3 b) 3 4 c) 3 5 d) 4 5 JEE MAIN LEVEL - 1 SINGLE CORRECT CHOICE TYPE: 1. 330∘ = Grades a) 1100g b) 1100g 3 c) 1100g 7 d) None 2. 3π c = a) 500∘ b) 200∘ c) 400∘ d) 540∘ 3. 200g = a) 180∘ b) 100∘ c) π c 4 d) π c 2 4. In △ ABC, AC = 25 cm, BC = 7 cm, AB = 24 cm, then cosec A = a) 7 25 b) 24 25 c) 25 7 d) 25 4 INTEGER ANSWER TYPE: 5. In △ ABC, AB = 3 cm, BC = 4 cm, AC = 5 cm, then cos A ⋅ sec A =
Tan R = a) 527 168 b) 275 168 c) 49 625 d) None JEE ADVANCED LEVEL - 1 MULTIPLE CORRECT CHOICE TYPE : 20. 135∘ = a) π 4 radians b) 3π 4 radians c) 150g d) 180g 21. 1 Right angle = a) 90g b) 100g c) π 2 radians d) 180g 22. 5π c 4 = a) 180∘ b) 180g c) 225∘ d) 250g REASONING TYPE: In a right angled triangle ABC 23. Statement-I : sin A + cos A = 17 13 Statement-II: sin A = 12 13 , cos A = 5 13 a) Both Statements I and II are true b) Both Statements I and II are false c) Statemen I is true Statement II false d) Statemen I is false Statement II true COMPREHENSION TYPE Consider the adjacent triangle to answer the follow- ing problems. 27. cos θ + sin θ = b) 12 13 c) 17 13 d) 13 17 28. cos θ − sin θ = a) −7 13 b) 1 c) 0 d) 12 13 29. sec θ × cosec θ = a) 60 13 b) 169 60 c) 1 d) 0 30. MATRIX MATCH TYPE: Column I Column II a) The reciprocal of sin θ is p) cot θ b) cos θ sin θ = q) csc θ c) The reciprocal of tan θ r) 1 tan θ d) hyp opp is the ratio of s) sin θ ⋅ cos θ t) 1 JEE ADVANCED LEVEL-2&3 MATRIX MATCH TYPE: 31. Column I Column II a) tan B p) 5 4 b) sin A q) 4 3 c) cos A r) 3 5 d) csc B s) 4 5 MULTIPLE CORRECT CHOICE TYPE : 32. Tan θ Cot θ = a) 1 b) sin2 θ cos2 θ c) Tan2 θ d) Sin2 θ ⋅ Sec2 θ JEE ADVANCED LEVEL-4&5 33. In △ ABC AB = 4 cm BC = 3 cm AC = 5 cm then sec2 A − tan2 A = a) 1