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class 10 math chapter trignometery notes hand made.pdf
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 Sin𝜃
= P/H Cos𝜃 = B/H Tan𝜃 = Sin𝜃/Cos𝜃 = P/B Cosec𝜃 = H/P Sec𝜃 = H/B Cot𝜃 = Cos𝜃/SIn𝜃 = B/P
6.
Trigonometric Angle ratio
table
7.
Trigonometric Identities P2 + B2 =
H2 P2 /H2 + B2 /H2 = 1 (P/H)2 + (B/H)2 = 1 (Sin𝜃)2 + (Cos𝜃)2 = 1
8.
Let’s Solve Some
Important Questions!!!
9.
1. If sec
θ + tan θ = p, then tan θ is (A) (p2 + 1)/2p (B) (p2 - 1)/2p (C) (p2 − 1)/(p2 + 1) (D) (p2 + 1)/(p2 - 1)
10.
2. If a
cot θ + b cosec θ = p and b cot θ + a cosec θ = q, then p2 – q 2 = (A) 𝑎2 − 𝑏2 (B) 𝑏2 − 𝑎2 (C) 𝑎2 + 𝑏2 (D) 𝑏 − a
11.
3. Given that
cos2 θ – sin2 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 sin2 θ and y = 2 cos2 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 sin3 θ + cos3 θ is: (A) 1 (B) ½ (C) √2/2 (D) √2
15.
7. If sinθ
+ cosθ = √2cosθ , (θ ≠ 900 ) then the value of tanθ is:
16.
8. Show that
tan4 θ +tan2 θ = sec4 θ - sec2 θ .
17.
9. Prove that
(sin 𝜃 + 𝑐𝑜𝑠𝑒𝑐 𝜃) 2 + (cos 𝜃 + sec 𝜃) 2 = 7 + 𝑡𝑎𝑛2 𝜃 + 𝑐𝑜t2 𝜃.
18.
10. Prove that
19.
11. If 4
tan𝜃 = 3, evaluate
20.
12. Prove that:
= tanA
21.
13. Prove that
22.
14. If cosec
A + cot A = m, show that (𝑚2 −1) / (𝑚2 +1) = cos 𝐴.
23.
THANK YOU
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