Trigonometry Class 11 | JEE Main & Advanced

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Unlock the secrets of Trigonometry with our detailed Class 11 tutorial tailored for JEE Main & Advanced. Explore essential concepts, identities, and problem-solving techniques to strengthen your foundation and excel in your exams. Perfect your skills with expert guidance and comprehensive explanations!
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Best One Shot on Trigonometry by Arvind Kalia Sir
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#trigonometryclass11 #Trigonometry #JEE2025 #JEEMain2025 #JEEAdvanced2025 #ArinvdKaliaSir #Onlinelearning #ArvindKaliaMaths #Onlinepreparation #JEEStrategy
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TIMESTAMPS
0:00 Introduction and Nature of Chapter
5:13 Index and critical topics
8:15 Systems of Measuring an Angle
50:24 Defining Cos𝝷 and Sin𝝷
1:09:32 Allied Angles
1:45:34 Values of trigonometric ratios at standard angles
1:46:45 Graph of trigonometric functions
1:50:52 Compound Angle formulae
2:14:15 Multiple Angle Formulae (Double Angle formulae)
3:16:28 Multiple Angle Formulae (Triple Angle Formulae)
3:25:14 Result : Cos𝝷. Cos2𝝷. Cos(2^2)𝝷.....Cos(2^(n-1))𝝷
3:35:07 Expression: a sin θ + b cos θ
3:40:36 Maximum & Minimum values of trigonometric expressions
3:58:03 Transformation formulae
4:41:58 Trigonometric series
4:47:59 Conditional Identitites

[BenStokes]

40:55 : theta (in radian) = l/R : See this as a reln bw theta, l and R

1:04:52 1:05:24 1:06:23 : Absolute value of Trigo function via Right angled triangle and sign by quadrant in which theta is located.

1:09:14 : Sin and cos mein linear eqn - M1 : Divide by cos, sq both sides, QE in tan. M2: Take either of sin or cos to the other side, sq both sides, QE in Cos or Sin

1:31:18 : Allied Angles (Complementary version) : Trigo func changes
1:33:15 : 90° jab bhi dikhe, complementary socho
1:34:55 1:35:43 : Radian complementary mein aasani se observe nhi hota hence i) nikal ke dekhna pdega ii) 1:37:01. Nikalo mat, aad krke dekho ki kahin sum 90° toh nhi bn rha

1:54:02 : 1st use of compound angle : angle not good but can be expressed as sum or difference of two good angles (eg 15°, 75°)

1:59:29 2:01:37 2:18:43 2:18:59 2:37:56 2:50:55 : Focus on requirement

2:06:50 2:08:52 2:10:18 2:11:16 2:11:47 : Tan ki imp variety ie tan ki bhut saari terms dikhein : angles pr focus kro, unmein reln find out kro and then apply tan.

2:16:34 : Look at it as a reln bw Trigo of A and Trigo of 2A

2:20:36 2:21:10 2:23:42 2:33:05 3:19:32 : Focus on ANGLE not trigo func. Focus kro angle pe and requirement create krne ki koshish kro

2:19:12 : Sin ki badi power +/- cos ki badi power then sq ko bahar le jao and proceed

2:32:08 2:41:26 2:41:58 2:42:32
2:35:08 2:36:42

2:46:02 2:47:01 : A ➡️ 2A mein jana h toh cos2A wala formula use kro

3:21:54 3:22:30 (concept) 3:25:01. : Method to find value of 'ugly' angle - look for the smallest multiple of that angle which is 'beautiful'

3:25:56. : Jab bhi cos (sin too) product mein aaye, toh most prolly yhi lagega bas acche se manipulate krna pdega
Sin ka product : 3:30:16 : Cos mein convert krne ki koshish rhegi

[Aveeyst]

Permutation and combination chapter . If anyone is interested, please prese the like.

[AlphaStudyVlogs]

TIMESTAMPS
0:00 Introduction and Nature of Chapter
5:13 Index and critical topics
8:15 Systems of Measuring an Angle
50:24 Defining Cos𝝷 and Sin𝝷
1:09:32 Allied Angles
1:45:34 Values of trigonometric ratios at standard angles
1:46:45 Graph of trigonometric functions
1:50:52 Compound Angle formulae
2:14:15 Multiple Angle Formulae (Double Angle formulae)
3:16:28 Multiple Angle Formulae (Triple Angle Formulae)
3:25:14 Result : Cos𝝷. Cos2𝝷.
3:35:07 Expression: a sin θ + b cos θ
3:40:36 Maximum & Minimum values of trigonometric expressions
3:58:03 Transformation formulae
4:41:58 Trigonometric series
4:47:59 Conditional Identitites

[kevindave]

I am from ISI Kolkata but I still keep revisiting Arvind sir's lectures to brush up my concepts. What a gem of a teacher he is!

[ParthStudy-vqvu]

0:00​ Introduction and Nature of Chapter
5:13​ Index and critical topics
8:15​ Systems of Measuring an Angle
50:24​ Defining Cos𝝷 and Sin𝝷
1:09:32​ Allied Angles
1:45:34​ Values of trigonometric ratios at standard angles
1:46:45​ Graph of trigonometric functions
1:50:52​ Compound Angle formulae
2:14:15​ Multiple Angle Formulae (Double Angle formulae)
3:16:28​ Multiple Angle Formulae (Triple Angle Formulae)
3:25:14​ Result : Cos𝝷. Cos2𝝷.
3:35:07​ Expression: a sin θ + b cos θ
3:40:36​ Maximum & Minimum values of trigonometric expressions
3:58:03​ Transformation formulae
4:41:58​ Trigonometric series
4:47:59​ Conditional Identitites

[ArushOP]

Best one shot lecture on Trigonometry👍

Edit: how did this comment reach 100 likes😃😃😃

[rrrs...indianbike....sclass]

bhai se better lectures youtube per dundh nahi sakta koi aur yar trigonometry lagta hai bhagwan ne sir ko trigonometry padhane hi dharti per bhej hai

[ei-kun]

i cant explain how good bhai teaches. like how does he even realize the places where certain tricks should be used or what unusual things to remember which actually becomes soo helpful. keep up sir, such godlike content for free is beyond something i would call a "gift".

[wonderstar]

Notes for self-

0:28:18 Rad to degree w/ decimals
1:18:25 Supplementary and super-supplementary Angles
1:21:46 Repeat the Question
2:54:00 Imp Question to review
2:44:50 Imp Formulas
2:59:30 Remember roots are - tan not x
3:08:18 Results to remember
4:02:49 Important Transformation question to repeat
4:27:20 Transformation product to sum/difference
4:30:38 Standard procedure to handle products

[ShashankPathak-ye]

Really sir you are the best teacher of math in you tube

[In_Love_wid_Study]

3:49:22 sir minimum will be -1 on putting sin thetha 0

[sourabsharma]

YESS SIR LOG BHI KARAITE JEE ADVANCED AND OLYMPIADS LEVEL TAK ❤❤

[target__iit]

𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒
2:12 Nature of Chapter
4:14 Weightage

5:12 *Topics*
5:30 Critical Topics ☠️

8:15 *System of Measuring Angles*
8:42 1️⃣ Sexagesimal System
11:14 2️⃣ Circular System
14:34 Special Cases
17:10 *Standard Angles in Radian*
21:49 Observation
22:16 Conversion from Degree to Radian
26:08 Conversion from Radian to Degree
34:03 1ᶜ = 57°16′22″

40:55 Questions based on l = rθ
45:36 Questions based on angle b/w hour & minute hand

50:24 *Defining Cosθ and Sinθ*
54:34 Range of Cosθ and Sinθ
54:59 General Form of Angles 0°, 90°, 180°, 270°
1:00:14 Cos(–θ) and Sin(–θ)
1:02:16 Sign of Trig Ratios in different Quadrants
1:03:42 Interconversion of Trig Ratios

1:09:55 *Allied Angles*
1:12:43 In multiples of π
1:16:08 Remarks for fast calculation
1:31:17 In multiples of π/2
1:37:45 Table of Standard Trig Values
1:45:33 Table of Standard Trig Values
1:45:57 *Value of some Special Angles 💀*

1:46:44 *Graph of Trigonometric Ratios*
1:47:07 Sin x
1:47:35 Cosec x
1:48:19 Cos x
1:49:03 Sec x
1:49:24 Tan x
1:50:48 Cot x

1:50:52 *Compound Angles Formulae*
1:53:09 *Formulas (Sine & Cosine)*
1:53:30 *Formulas (Tangent & Cotangent)*
1:55:26 Special Cases of Tan
2:05:50 *Formulas [sin(A+B)·sin(A–B)]*
*[cos(A+B)·cos(A–B)]*
2:06:50 _Question: Angles in multiple tan in multiplication_
2:08:26 Result: If A=B+C, then tanA·tanB·tanC = ?
2:12:42 _1, x, y, xy can always be factorised_

2:14:16 *Multiple Angle Formulae*
2:14:37 Derivation
2:17:26 *Formulas (Double Angle)*
2:19:13 _Advice: If higher powers of sin & cos)_
2:30:30 *Formulas of cos2θ*
2:35:05 Formula of 1±sin2θ
2:43:07 Note
2:46:24 Formula for changing θ to 2θ
2:48:12 Note
2:49:40 Formula for changing sin2θ & cos2θ to tanθ
3:02:48 *Extra Formulas to Remember*

3:16:29 *Triple Angle Formulae*
3:18:07 Result [sinθ·sin(60°–θ)·sin(60°+θ) = ?]
[cosθ·cos(60°–θ)·cos(60°+θ) = ?]
3:21:30 _sin 18°_

3:25:13 *Product of Cosines*
3:30:08 Product of Sines

3:35:08 *Expression: asinθ+bcosθ*

3:40:37 *Max & Min Values of Trig Expression*
3:41:20 Category 1️⃣
3:45:34 _If angles are different_
3:46:58 Category 2️⃣
3:53:32 Category 3️⃣

3:58:04 *Transformation Formulae*
3:59:12 *Sum & Difference to Product*
4:04:49 _Question: Technique of sq & adding to eliminate_
4:09:00 _Good Question_
4:19:02 _Question: Componendo–Dividendo_
4:27:04 *Product to Sum & Difference*
4:29:48 _Product of Sines—General Approach_
4:36:20 _Question: Meaning of “∀x”

4:41:58 *Trigonometric Series*

4:49:30 *Conditional Identities*
4:55:27 _tan(A+B+C) = ?_
4:58:14 _Question_
5:01:41 _Deceptive Question✨_

[Anish-ydqg]

Bhaiya, please make a session on the toughest questions of trigonometry.

[Chintan]

Sir 01:41:39, (n) cos(405)=1-root 2 /root 2 (in denominator it's root 2 after rationalizing with root 2 becomes (root2 -2)/2 :)

[AnontaDatta-ddsu]

Sir you made me to rethink about my trigonometry, I've never thought this possible ways .Appreciate your efforts .Respect from Bangladesh 🇧🇩

[anantbansal]

Best Maths Teacher That Teaches With Imagination Unlike Other Teachers

[SushantSingh-jktp]

Sir can we take only maths subscription in your batch. Please 🙏

[Harsh-zqqc]

2.57.32 sir your method is nice but I also have one we can say alpha beta are roots of eq so x is alpha or beta agr alph abeta satisfied karke minus krte he to sinc -sind and cos - cosd use karke aa gayega

[gamerunknown]

seriously i had so much fun while evaluating for the allied angles after learning the trick. previously they were a headache to solve. Thankyou so much sir, your efforts are seriously appreciated