GTU IMP MCQ Material With Mock Test Material For Mathematics Chapter Vector, GTU MCQ Quiz Solution Or Book Material One-Click Download Now
Applied Mathematics Chapter Trigonometry (Q&A)
1. `\frac{2\pi}{9}` Radian = ____________.
Answer : 40°
2. 270° = ___________ Radian
Answer : `\frac{3\pi}{2}`
3. sin`\frac\pi6` • sin `\frac\pi3` • sin `\frac\pi2` • sin Ï€ = _______.
Answer : `\frac{\sqrt{3}}{4}`
4. Period of cos (3x + 5) = ________.
Answer : `\frac{2\pi}{3}`
5. Sin (135°) = _________.
Answer : `\frac{-1}{\sqrt{2}}`
6. Sin⁻¹x + cos⁻¹x = ________.
Answer : `\frac{\pi}{2}`
7. The period of sin 3x = _________.
Answer : `\frac{2\pi}{3}`
8. Sin3A = _______________.
Answer : 3sinA - 4`sin^{3}`A
9. Sin⁻¹ (cos `\frac{\pi}{3}`) = __________.
Answer : `\frac{1}{2}`
10. Period of cos (`\frac{x}{6}`) = ___________.
Answer : 12 π
11. Sin `\frac{\pi}{8}` = _______.
Answer : `\frac{\sqrt{2\-\sqrt2}}2`
12. If tan θ = `\frac{3}{4}` then tan (2θ) = ________.
Answer : `\frac{-6}{5}`
13. sin 2θ = __________.
Answer : 2sinθ • cosθ
14. The period of sin 2x = __________.
Answer : π
15. Sin (`\frac{\pi}{2}` - θ) = _______.
Answer : cosθ
16. 216° = _________ Radian
Answer : `\frac{6\pi}{5}`
17. The principal period of sin²36° + cos²36° is _________.
Answer : 1
18. If ΔABC, sec `\frac{B + C}{2}`
Answer : cosec `\frac{A}{2}`
19. 3 sin 20 - 4 sin 20 = ________.
Answer : `\frac{\sqrt{3}}{2}`
20. Cos ( π - θ ) = ________.
Answer : -cosθ
21. Period of sin (2x + 7) is ________.
Answer : π
22. Sin (`\frac{\pi}{2}` + θ) = _______.
Answer : Cos θ
23. tan⁻¹ `\frac{3}{4}` + tan⁻¹ `\frac{4}{3}` = _______.
Answer : `\frac{\pi}{2}` and 1
24. If sec θ = `\frac{3}{2}` then tanθ = _______.
Answer : tanθ = `\frac{\sqrt{5}}{2}`
25. Sin 40° + Sin 20° = _________.
Answer : cos 10°
26. sin`\frac\pi8` • sin `\frac{9pi}{8}`
Answer : 0
27. Principal period of cos ( `\frac{2x}{3}` + 5 ) = _________.
Answer : 3 π
28. `\frac{4\pi}{9}` Radian = ___________ degree.
Answer : 80°
29. Tan²Î¸ + 1 = _____.
Answer : sec²Î¸
30. If tanθ = `\frac{-4}{3}` and `\frac\pi2` < θ then secθ = __________.
Answer : `\frac{-5}{3}`
31. ABC is right angled triangle with m∠B = 90° then cos²A + cos²B + cos²C = _______.
Answer : 1
32. ABC is right angle triangle with m∠B = 90° then sin²A + sin²B + sin²C = _______.
Answer : 2
33. sin²(40°) + sin²(50°) = _______.
Answer : 1
34. Sec⁻¹x + cosec⁻¹x = __________.
Answer : 90°
35. If sinθ + cosθ = 2 then sin(2θ) = _______.
Answer : 3
36. Tan⁻¹ (`\sqrt{3}`)
Answer : 60°
37. Sin(120°) = _______.
Answer : `\frac{\sqrt{3}}{2}`
38. Sin(A + B) • Sin(A - B) = _________.
Answer : sin²A - sin²B
39. Sin(-θ) sec (`\frac{\pi}{2}` - θ) = __________.
Answer : -1
40. Sin(3α) = ___________.
Answer : 3sinα - 4sin³Î±
41. Measure of the angle of the triangle are in ratio 2 : 3: 4 : then measurev of the biggest angle of the triangle is _________ radian.
Answer : `\frac{4\pi}{9}`
42. In a unit circle two radii subtends an angle of measure θ = `\frac{\pi}{6}`, then area of the sector of the circle is _______ unit.
Answer : `\frac{4\pi}{9}`
43. Range of the function f (x) = 2sinx + 3 is ______.
Answer : [1, 5]
44. Range of the function f (x) = 2cos² (3x + 5) - 1 is ______.
Answer : [-1,1]
45. For equation x = a cosθ and y = a sinθ then _____ of the following is true.
Answer : x² + y² = a²
46. If x = secθ + tanθ and y = secθ - tanθ then _______ of the following is true.
Answer : xy = 1
47. If 0 < θ < 90° and sinθ = cos(30°) then value of 2tan (2θ) - 1 = ______.
Answer : 5
48. If 3θ is acute angle and sin(3θ) = cos(θ - 26°) then θ = ______.
Answer : 29
49. For 0 < θ ≤ 90° then ________ of the following is true statement.
Answer : `\frac{1}{sec}` = 1
50. If 0 < α < `\frac\pi2` and cosα = `\frac{4}{5}` then secα + tanα = ______.
Answer : 2
51. If 0 < θ < 90° and tanθ = `\frac{5}{12}` then [sinθ + cosθ] secθ = ______.
Answer : `\frac{17}{12}`
52. If `\sqrt{3}` sinθ = cosθ then value of θ = ______.
Answer : 30°
53. If A and B are complementary angles then sinA secB has ______ value.
Answer : 1
54. log (sin1°) • log (sin2°) • log (sin3°) •••••• log (sin90°) has ______ o the following possible value.
Answer : 0
55. Sin[tan⁻¹Ï€ + cot⁻¹Ï€] = _________.
Answer : 1
No One Will be able to see this marks.if you click on the wrong answer Right Answer will be given to you in green colour
/Telegram_(software)-Logo.wine.svg){kind=logo}
0 Comments