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Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 1. (a) 

11°15’

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 2. (c) 

Two angles = A and B where A > B.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

On adding these equations,

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 3. (c)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 4. (a)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 5. (b) 

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 6. (a) 

Let No. of terms in 1 + 5 + 9 + ….. + 89 = n

∴ a + (n – 1) d = tn  ;⇒ 1+(b-1)4 = 89  ;⇒ (n – 1)4 = 89 – 1 = 88  ;⇒ n – 1 = 22  ;⇒ n = 23

Now,

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 7. (b) 

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 8. (b) 

Maximum value of Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 9. (c) 

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 10. (b) 

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 11. (a) 

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 12. (c) 

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 13. (b)

 Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

XZ – YZ = 2 …………(i)

⇒ XY2 + YZ2 = XZ

⇒ Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

⇒ 24 = (XZ – YZ)(XZ + YZ) ; ⇒ 24 = (XZ – YZ)(XZ + YZ) ;

⇒ XZ + YZ = 12 ……..(ii)

Adding both the equations,

2 X Z = 14 ⇒ XZ = 7 ;

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 14. (c)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 15. (a)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 16. (c)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 17. (b)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

⇒ AB = 2k, BC = k

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 18. (b)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 19. (a)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 20. (c)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 21. (d)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 22. (b)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 23. (c)

23q

Solution 24. (c)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 25. (b)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 26. (a)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 27.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 28.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

 

Solution 29.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

When sign is + ve then take greater value of sign is – ve then take-vevalue .

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solutions 30.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 31.





A + B = 450

tan (A + B) = tan 450

=  Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

⇒tan A + tan B = 1 – tan A. tan B ;

⇒ tan A + tan B + tan A. tan B = 1

By adding 1 both side

⇒ 1 + tan A + tan B + tan A. tan B = 1 + 1;               ⇒ (1 + tan A) + tan B(1 + tan A) = 2

⇒ (1 + tan A)(1 + tan B) = 2

Solution 32.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 33.

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Sin 100. Sin 500. Sin 700

Sin (900 – 800) sin (900 – 400). Sin (900 – 200) = cos 20. Cos 40. Cos 80

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 34. (d)  

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 35. (b)  

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 36. (d) 

 Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 37. (a)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 38. (d)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 39. (c)

Trigonometry Part 1(Solution): Advance math series 2000 most important questions.

Solution 40. (d)

40

 

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