class 10 math chapter trignometery notes hand made.pdf

Class 10 trignometery free notes

1. CLASS - 10
INTRODUCTION TO
TRIGONOMETRY

2. WHAT WILL YOU GET?
•Premium Lectures
•Notes (Telegram)
•Practice of Most Important Questions

3. CHAPTER ANALYSIS
1 Marks - 3
2 Marks - 1 (with option)
3 Marks - 1
TOTAL - 8

4. Introduction to Trigonometry
The triangle of most interest is a right angled triangle.
Trigonometry is all about triangles

5. Six Trigonometric ratios
Sin?????? = P/H

Cos?????? = B/H

Tan?????? = Sin??????/Cos?????? = P/B
Cosec?????? = H/P

Sec?????? = H/B

Cot?????? = Cos??????/SIn?????? = B/P

6. Trigonometric Angle ratio table

7. Trigonometric Identities
P
2
+ B
2
= H
2

P
2
/H
2
+ B
2
/H
2
= 1

(P/H)
2
+ (B/H)
2
= 1

(Sin??????)
2
+ (Cos??????)
2
= 1

8. Let’s Solve Some Important Questions!!!

9. 1. If sec θ + tan θ = p, then tan θ is

(A) (p
2
+ 1)/2p
(B) (p
2
- 1)/2p
(C) (p
2
− 1)/(p
2
+ 1)
(D) (p
2
+ 1)/(p
2
- 1)

10. 2. If a cot θ + b cosec θ = p and b cot θ + a cosec θ = q, then p
2
– q
2
=

(A) �
2
− �
2

(B) �
2
− �
2

(C) �
2
+ �
2

(D) � − a

11. 3. Given that cos
2
θ – sin
2
θ = 3/4 then cos θ =

(A) √3/2
(B) 1/2
(C) √7/2
(D) √(⅞)

12. 4. In △ABC right angled at B, SinA = 7/25, then the value of Cos C is:

(A) 7/25
(B) 24/25
(C) 7/24
(D) 24/7

13. 5. If x = 2 sin
2
θ and y = 2 cos
2
θ + 1, then find the value of x + y

14. 6. If θ is an acute angle and tanθ + cotθ =2, then the value of sin
3
θ + cos
3
θ is:

(A) 1
(B) ½
(C) √2/2
(D) √2

15. 7. If sinθ + cosθ = √2cosθ , (θ ≠ 90
0
) then the value of tanθ is:

16. 8. Show that tan
4
θ +tan
2
θ = sec
4
θ - sec
2
θ .

17. 9. Prove that (sin ?????? + ���??????� ??????)
2
+ (cos ?????? + sec ??????)
2
= 7 + ���
2
?????? + ��t
2
??????.

18. 10. Prove that

19. 11. If 4 tan?????? = 3, evaluate

20. 12. Prove that: = tanA

21. 13. Prove that

22. 14. If cosec A + cot A = m, show that (�
2
−1) / (�
2
+1) = cos ??????.

23. THANK YOU