नीचे दिए गए सभी Questions Bihar Board परीक्षा 2026 के अनुसार “Hot Questions” (अत्यंत महत्वपूर्ण प्रश्न) हैं । इन सभी Trigonometry त्रिकोणमिति के Questions का Solve का वीडियो Youtube और Website पर Upload किया गया है।

1. If θ = 45°, then sin θ + cos θ =
2. sin²75° + sin²15° =
3. If tan θ = p/q, then (p sin θ − q cos θ) / (p sin θ + q cos θ) =
4. cos 48° − sin 42° =
5. (1 − tan²45°)/(1 + tan²45°) =
6. If tan 35° × tan 55° = sin A, then A =
7. 1/sin θ =
8. If sec θ + tan θ = x, then tan θ =
9. cos1° · cos2° · cos3° … cos90° =
10. 1 + cot²θ =
11. sin²θ + 1/(1 + tan²θ) =
12. If 2 sin α = 2, then α =
13. sec 11° / cosec 79° =
14. If a sin θ = 1 and b cos θ = 1, then tan θ =
15. tan45° : tan60° =
16. If cos θ = √3/2, then θ =
17. 2(sin²α + cos²α) =
18. If cot θ = 1/√3, then sec θ =
19. If tan θ = 4/3, then sin θ + cos θ =
20. cosec²57° − tan²33° =
21. If θ = 30°, then 2cos2θ =
22. 1/√3 is equal to
23. (cos37°/sin53°) + (cot34°/tan56°) =
24. If tan θ = 12/5, then sin θ =
25. (cosec θ − cot θ)² =
26. cosec²θ − cot²θ =
27. If √3 tan2θ − 3 = 0, then θ =
28. If sin θ = √3/2, then cosec θ + cot θ =
29. Which of the following is true?
30. (1 + cot²θ)(1 − cos²θ) =
31. If θ and φ are complementary angles, then
32. sec B × cos B =
33. (cos59°/sin31°) × (tan80°/cot10°) =
34. If sinθ = cosθ (0° ≤ θ ≤ 90°), then θ =
35. 5cosec²θ − 5cot²θ =
36. sec²10° − cot²80° =
37. tan10° tan15° tan75° tan80° =
38. If 3α = 180°, then cos α =
39. (sin30° + cos45° − tan60°) / (cot30° − sin45° − cos60°) =
40. sin70° + sin20° + cos70° =
41. tan A = ?
42. sec² A/(1 + cot² A) = ?
43. (cos 60° + 1)/(cos 60° − 1) = ?
44. यदि A + B = 90°, तो tan A = ?
45. 8 sec² θ − 8 tan² θ = ?
46. (2 sin 38°)/cos 52° = ?
47. cos (90° – θ) का मान है—
48. tan 30° sin 30° cot 60° cosec 30° = ?
49. यदि θ = 45°, तो tan² θ + 1/sin² θ = ?
50. यदि tan θ = 5/12, तो sec² θ = ?
51. sin 18°/cos 72° = ?
52. sin² 37° + sin² 53° = ?
53. √((1 − cos θ)/(1 + cos θ)) = ?
54. यदि 15 cot A = 8, तो sin A = ?
55. 1 + tan² θ = ?
56. यदि tan θ = 12/5, तो sin θ = ?
57. यदि sin θ = 4/5, तो cosec θ = ?
58. 9 sec² A − 9 tan² A = ?
59. यदि tan θ = 15/8, तो sin θ = ?
60. (1 + cot² A)/(1 + tan² A) = ?
61. cos (90° − θ) = ?
62. यदि sec θ = 2, तो cos θ = ?
63. sin 63°/cos 27° = ?
64. (1 + tan θ + sec θ)(1 + cot θ − cosec θ) = ?
65. यदि sin A = 3/5 और A एक न्यून कोण है, तो tan A = ?
66. यदि tan θ = √3, तो sec θ = ?
67. यदि cos 32° = x और cos 58° = y, तो—
68. यदि tan A = 1/√3, तो A = ?
69. sin 38° − cos 52° = ?
70. cosec² θ के बराबर है—
71. यदि tan θ = √3, तो θ = ?
72. यदि (tan θ + cot θ) = 6, तो tan² θ + cot² θ = ?
73. 1/√3 किसके बराबर है?
74. यदि √3 sec θ = 2, तो θ = ?
75. (2 sin² 63° + 1 + 2 sin² 27°)/(3 cos² 17° − 2 + 3 cos² 73°) = ?
76. sin (90° − θ) = ?
77. sin² 48° − cos² 42° = ?
78. यदि cos A = 4/5 है, तो sin A = ?
79. tan 60° का मान है—
80. यदि sec θ + tan θ + 1 = 0, तो sec θ − tan θ = ?
81. (2 tan 30°)/(1 + tan² 30°) = ?
82. यदि 2 cos θ = √3, तो θ = ?
83. sin² A + cos² A = ?
84. (cos 60° + 1)/(cos 60° − 1) = ?
85. यदि tan θ = 8/15, तो cosec θ = ?
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