TRIGONOMETRY COMPLEMENTRY ANGLE BASED TYPE-2

COMPLEMENTRY

ANGLE BASED

TYPE-2

1. tan50°. tan20°. tan70° tan85°   
2. tan5°. tan6°. tan7° _ _ _ _ tan85° 
3. tan12°.tan22°tan32°.tan58°tan68°tan78° 2
21. sec2 70  cot2 69  2 x=?
cos ec 251  tan2 31 x
22.
1 1 1 1 23. sin(x + y) = cos3 (x + y) tan2(x + y) = ?
2 2 2 2 24.
4. tan22 tan32 tan57 tan60°tan67 sin 2((x – 20) = cos (y + 10) sec (x + y) = ?

5. cot10°cot20°tan30°cot40° _ _ _ _ cot80° tan (2 + 45) = cot 3 = ?°

6. cot  cot 3 cot 5 cot 7 cot 9 25. tan (x + y).tan (x – y) = 1 tan 2x = ?
20 20 20 20 20 3

7. cos7°.cos8°.cos9°._ _ _ _ cos193° 26. tan2 .tan3 = 1 2cos2 5 –1=?
8. cos1°.cos2°.cos°3. _ _ _ _ cos180° 2

10. sin7°.sin8°.sin9° _ _ _ _ sin 193° 27. tan ( + x). tan ( – x) = 1 tan 2 =?
11. sin35°.sec55°cos15°cosec75° 3

12. sin5°.cos15°.cos25°.cos35°.sin45°.cos55°. sec65°. 28. sec(2 + 45) = cosec 45° =?
cosec75°sec85°
29. tan(7 + 28) = cot (3 + 32) =?

13.  sin 44372   cos 47 2 –4cos2 45° 30. tan(5 + 19) = cot (6 – 39°) =?
cos sin 43  31.
A and B are complementry Angles-

 sin 53822 2 tanc2o5s3.t2anc4os5ec.t5a8n652 –1=? sinA cosB + cosA sinB – tanA tanB + sec2A–cot2B
cos
14. 3  32. Cosec39° = x

15. 4cosec80°cos10¦–3cos31°cosec59°+1=? 11
cos ec 2 51 +sin239 + tan251– sin2 51.sec2 39
16. 2sin 68  2 cot 75  33. cot22° = y
cos 22 5 tan15

3 tan 20tan 40tan 50tan 70 cos268 + 1 68  1 22 – 1
5 cos2 sec2 tan2 22 tan2 68

sin1.sin 3.sin 5.sin 7 _ _ _ sin79 34. sin221°+sin269=
cos1.cos 3.cos 5,cos 7_ _ _cos79 35.
17. cos268 + cos222 + sin25 + sin285

cos1.cos 4.cos 6 _ _ _ cos 88 36. sin225 + sin°265 + cos215° + cos275
sin 2.sin 4.sin 6_ _ _cos88 37.
18. 38. sin25 + sin215 + sin225 + _ _ _ _ + sin285
39.
40. sin25 + sin210 + sin215 + _ _ _ _ + sin285

19. cot18° cot 72cos2 22  1 68 sin21 + sin23 + sin25 + _ _ _ _ + sin289
tan 72sec2
sin21 sin22 + sin23 + _ _ _ _ sin290

20. sin 39 +21tan11°.tan31°.tan45°.tan59°tan79°– 41. cos210+ cos215 + cos220 + _ _ _ _ + cos280
cos 51 42.
cos25 + cos26 + cos27 + _ _ _ _ + cos 85
3(sin221+sin269)=

1

43. sin211 + sin212 + sin213 _ _ _ _ + sin279 48. 3(sin21 + sin25 + sin29 + _ _ _ _ sin289) – 2(cos211
44. sin25 + sin29 + sin213 + _ _ _ _ _ + sin285 + cos213 + cos215 + _ _ _ _ + cos279) + 1

45. sin29 + sin212 + sin215+ _ _ _ _ + sin281 49. 2(sin2 + sin22 + sin23 + sin289) – 3(cos21 + cos23 +
cos25 + cos289) – 23
46. sin21 + sin211 + sin221 + sin231 + sin241 + sin249
+ sin259 + sin269 + siin279 + sin289
50. sin59 × cos31 + cos 59 sin 31) ÷ (cos20 cos 25 –
47. sin224 + sin234 + sin245 + sin256 + sin266 sin20 sin 25) = ?

ANSWER KEY

1. (1) 10. (0) 17. (1) 1 31. (0) 38. 8 1 1 46. (5)
2. (1) 11. (1) 18. (1) 25. 3 32.(x2+1) 2 42.40 2 1
3. (1) 19. (1) 26. (0) 33.(y2+1)
20. (0) 34. (1) 1 47. 2 2
4. 3 1 1 35. (1) 1 43.34 2 1
5. (1) 12. 2 21. (4) 27. 3 39.22 2
22. (1) 28. (0) 36. (2) 1 48. 2
13. (0) 29. (3°) 44.10 2 3
6. (1) 14. (0) 23. 2 30.(10) 37. 4 1 1
7. (0) 15. (2) 24. (9°) 2 40.45 2 1 49. 2
8. (0) 45.12 2 50. 2
9. (0) 16. (1) 1
41. 7 2

2