Trigonometric Functions - 15 Most Important PYQs in 1 Shot || JEE Main

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[astudy]

📒 Notes :
1) cos 2¢ = 2cos^¢ - 1
2) sine rule
3) range = make perfect square
4) 🔹cos ¢ cos 2¢ cos 4¢ ... cos [2^(n-1)] ¢ = sin [(2^n)¢] / (2^n) sin ¢
5) 🔹AM > GM, if AM = GM then all terms are equal
6) put alpha, beta and compare
7) find tan ... with triangle method
8) cos A cos B = [cos (A+B) + cos (A-B)] / 2
9) 🔹sin ¢ sin (60-¢) sin (60+¢) = [sin 3¢] / 4
10) sin 2¢ and cos 2¢ formula
11) sin^4¢ + cos^4¢ = 1 - [{(sin2¢)^2}/2]
12) Use of different formulas
13) Drawing Diagram
14) (1/2)^2 > (1/2)^3
15) Sum of roots and product of roots

Thank you ❤ ....
Bye 😊

[hrishikeshbharadwaj]

Reply to MSM sir ☺️
30:12 2019 ♥️
50:35 advance ♥️
1:27:45 observation ♥️
1:41:00 chote baba ♥️

[iitjeeadv]

Notes :
1) cos 2¢ = 2cos^¢ - 1
2) sine rule
3) range = make perfect square
4) 🔹cos ¢ cos 2¢ cos 4¢ ... cos [2^(n-1)] ¢ = sin [(2^n)¢] / (2^n) sin ¢
5) 🔹AM > GM, if AM = GM then all terms are equal
6) put alpha, beta and compare
7) find tan ... with triangle method
8) cos A cos B = [cos (A+B) + cos (A-B)] / 2
9) 🔹sin ¢ sin (60-¢) sin (60+¢) = [sin 3¢] / 4
10) sin 2¢ and cos 2¢ formula
11) sin^4¢ + cos^4¢ = 1 - [{(sin2¢)^2}/2]
12) Use of different formulas
13) Drawing Diagram
14) (1/2)^2 > (1/2)^3
15) Sum of roots and product of roots

[harekrishna-hareram]

Coscube π/8 .Cos3π/8 + sincube π/8.sin3π/8
Converting cos 3π/8 into sinπ/8...similarly sin3π/8 into cosπ/8....taking cosπ/8sinπ/8 common... Inside bracket (sin^2(π/8) + cos^2(π/8) ) that euals to 1 . Then solve
sinπ/8cosπ/8 equals to 1/2√2..
Three steps solution

[DrGamer-dmhp]

PW ke sare teachers pure mahnut krte hai even at 3:00am so we should also give 110% ❤️❤️😌thank you sir ❤️🔥❤️ JBK

[jitendratolani]

At 20:45 I know this as 1-1/2(sin2thetha) square and max value of sin2thetha is 1 therefore 1-1/2=1/2

[swapnilgaikwad-]

question at 1:10:15 can be solved short
3pi/8 = (pi/2 - pi/8)


write cos(pi/2 - pi/8) = sin pi/8 and sin (pi/2 - pi/8) = cos pi/8
take ( sin pi/8 . cos pi/8 ) common question is killed.

[Ayushkushwaha]

मै खेत मे काम कर रहा था अब देख रहा हूँ sir आप महान हो ❤❤

[shiv_]

ALPHA -GURU, SINE ❤, 2019 ❤, OP SAWAL, JBK ❤, JBK 1, CHOTE BABA ❤, JBK AAG .
THANK YOU SO MUCH SIR ❤❤🔥🔥🔥🔥❤ . JEE MAINS ME AAG LAGA DEGE 🔥🔥🔥

[Anuj-liiz]

Sir aisa feel ho Raha hai ki hamara rank boost hoga, confidence increase ho jata hai lecture ke baad💯💯💯💯

[aarshay]

sir I believe the solutions provided by you for most of the questions were on the lengthier side .

[sahilpanwar-ss]

) cos 2¢ = 2cos^¢ - 1
2) sine rule
3) range = make perfect square
4) cos ¢ cos 2¢ cos 4¢ ... cos [2^(n-1)] ¢ = sin [(2^n)¢] / (2^n) sin ¢
5) AM > GM, if AM = GM then all terms are equal
6) put alpha, beta and compare
7) find tan ... with triangle method
8) cos A cos B = [cos (A+B) + cos (A-B)] / 2
9) sin ¢ sin (60-¢) sin (60+¢) = [sin 3¢] / 4
10) sin 2¢ and cos 2¢ formula
11) sin^4¢ + cos^4¢ = 1 - [{(sin2¢)^2}/2]
12) Use of different formulas
13) Drawing Diagram
14) (1/2)^2 > (1/2)^3
15) Sum of roots and product of roots

Thank you ....
Bye

[amanagrawal]

at 1:10:00 we can put (3pi/8 =Pi/2 -Pi/8) and
solve ques in only 2 steps🙂🙂🙂

[binduyadav]

1) alpha guru 💛💛
2 sine 💚💚
3 ???
4 2019💙 ( ye to sin 2theta se bhi ho gaya tha) 30:19
5 a.p and g.p 🖤🖤
6 advance 🧡
7 jbk❤❤❤❤❤❤
8 ??
9 ??
10 champa💖
11 2020💓
12 ??
13 1:29:45 samajh nahi aaya.. Isliye chhod diya
14 1:40:30 best question of the day💞💗💞💗
15 ??

[ayushtharollno]

1:29:29 Question will be also done by class 10 theorem in which π\k+2π\k= 180

[NotSoSmart]

Q. No 2 ko ek trick se v kiya ja skta hain. Agar hum trapezium ko ek rectangle mane to AB q ke barabar ho jaaega aur cos theeta equals p/√p^2+q^2 and sin theeta equals q/√p^2+q^2 ho Ye values put krke option me kon sa option q ke barabar aata hain check karo to option A hi aaega 😉

[prashanthkumar]

7:34 MY TRICK
If we take theta = 0 then AB should be zero
so either A or D should be correct .... (C, D eliminated)
we notiece AB is length (dimension meter)

D is dimensionless and A has dimension of length...

so Option A is only satisfying both ✌🏻✌🏻😁😁

Math me dimensional analysis laga dala 😌😌

[kanansvision]

Hats off to the entire team...❤️❤️❤️ Thank u so much....

[RITESH]

1:07:10 put x=90 degree u will get -1 which is only available in option 1

[PriyanshuKumarishwar]

Sir, I have solved 12 question without watching yours solution.