TRIGONOMETRY

1. Y = sin³θ. cos³θ का न्यूनतम और अधिकतम मान ज्ञात कीजिए

2. cosθ sinθ का न्यूनतम मान होगा। SSC Phase X 05/08/2022 (Shift- 03) 

3.  7 sinθ - 24 cosθ का न्यूनतम और अधिकतम मान ज्ञात कीजिए

4. 3 sinθ + 4 cosθ का न्यूनतम और अधिकतम मान ज्ञात कीजिए

5. 3 - 2 sin³θ का न्यूनतम और अधिकतम मान ज्ञात कीजिए

6. If sinx- cosx = 0, 0° < x < 90°, then the value of (secx+ cosecx)² is: SSC CHSL 15/10/2020 (Morning)

7. If sinx- cosx = 0, then the value of (sin³x - cos³ x) is; SSC CHSL 13/10/2020 (Evening)

8. If tanx = cot(65° + 9x), then what is the value of x? BSC CHSL 4 July 2019 (Afternoon)

9. If tan3x= cot(30° + 2x), then what is the value of x? SSC CPO 2018 12 March 2019 (Evening)

10. If sec 2x = cosec(3x - 45°), then x is equal to : SSC CPO 2018 13 March 2019 (Evening)

11. If tanx = cot(45°+ 2x), then what is the value of x? SSC CPO 2018 12 March 2019 (Morning)

12. If tan4A = cot(A – 20°), 0° < 0 < 90°, then the value of A is : SSC CHSL 16/10/2020 (Afternoon)

13. If cos3θ= sin(θ-34°), then the value of θ as an acute angle is : SSC CHSL 20/10/2020 (Morning)

14. If θ is a positive acute angle and tan2θ. tan3θ= 1, then the value of θ is: SSC CHSL 20/10/2020 (Afternoon)

15. If cotA = tan (2A-45°), A is an acute angle then tanA is equal to ;  SSC CHSL 20/10/2020 (Evening)

16. If tan4θ = cot(2θ+30°), then θ is equal to : SSC CGL 11 June 2019 (Morning)

17. If sinθ = cos(50° +θ), then θ is equal to : SSC CGL 11 June 2019 (Afternoon)

18. If sin5θ = cos(50° - 3θ), then θ is equal to: SSC CGL 11 June 2019 (Morning)

19. If tan4θ = cot(40°-2θ), then θ is equal to : SSC CGL 12 June 2019 (Morning)

20. If cosec3θ = sec(20° + 2θ), then θ is equal SSC CGL 12 June 2019 (Afternoon)

21. If cosec4θ= sec(60° -20), then is equal to: SSC CGL 12 June 2019 (Evening)

22. If sin3θ = cos(20° - θ), then θ is equal SSC CGL 13 June 2019 (Morning)

23. If cosec2θ = sec(3θ-15°), then θ is equal to: SSC CGL 13 June 2019 (Afternoon)

24. If tanx = cot(45° + 2x), then x is equal to : SSC CGL 12 June 2019 (Evening)

25. If tanx = cot (60° + 6x), then what is the value of x? SSC CHSL 3 July 2019 (Evening)

26. If tan4θ = cot(2θ+30°), then θ is equal to : SSC CGL 11 June 2019 (Morning)

27. tanA.tanB = 1 THEN A+ B = ?

28. tan5º.tan10ºtan15º................................tan80º.tan85º = ?

29. tan1º.tan3ºtan5º................................tan87º.tan89º = ?

30. tan1º.tan2ºtan3º................................tan88º.tan89º = ?

31. tan39º.tan43ºtan47º.tan51º = ?

32. tan10º.tan80º = ?

33. sin² π⁄12 + sin²5π⁄12  = ? 

34. sin²5° + sin²10° + ………………….+ sin² 85° + sin²90° = ? 

35. sin²2° + sin²4° + sin²6° + sin²88° = ?

36. sin²1° + sin²3° + sin²5° ..... + sin²89° = ?

37. sin²1° + sin²2° + sin ²3°...........+ sin²88° + sin²89° = ? 

38. sin²39° + sin²49° + sin²41° + sin² 51° = ?

39. sin²43° + sin²47° = ?

40. If 4x is an acute angle and cot 4x=tan(x-5), then what is the value of x? SSC CPO 24/11/2020 (Evening)

41. If sec3x = cosec(3x + 45°), 0° < 3x < 90°, then x is equal to : SSC CPO 23/11/2020 (Evening) 

42. If sec3x = cosec(3x - 45°), where 3x is an acute angle, then x is equal to : SSC CPO 23/11/2020 (Evening) 

43.  If sin7x= cos11x, 0° < x < 90°, then the value of tan9x is : SSC CHSL 20/10/2020 (Morning)