Basic Trigonometry

Introduction to trigonometry

Iss video main main aap ko

trignometry ki mabadayat dena chahun ga.

Yeh bohat mushkil mozou lagta hai

magr aap dekhain gai keh yeh dirf parhai hai

tarkoun ki tarfain key tanasib ka.

Trignometry ka 'trig' wala hisay ka lafzi matlab

tarkoun hai aur uss key 'metry' hissae ka lafzi matlab

napna hai.Tou main aap ko kuch masalain deta hun.

Mujhe lagta hai yeh sab kuch sabiq bana deyga.

Tou main kuch right tarkoun banata hun,mujhe

aik right tarkoun bananae dain.Yeh aik right tarkoun hai.

Jab main kehta hun keh yeh right tarkoun hai tou woh iss liye kunke

yahan par aik angle 90 degrees ka hai.

Yeh yahan par aik right tarkoun hai.

Yeh 90 degrees key barabar hai.

Aur hum aur tareekoun key bare main aat karein gai

zawya ki shidat ka dekhane kay liye mustaqbil ki videos main.

Tou humare paas aik 90 degress angle hai.

Yeh aik right angle hai,tou mujhe

yahan par kuch lambai lagane dou in sides par.Tou iss side yaham par shaid 3 hai.Iss ki ounchai idhar 3 hai.

Shaid iss tarkoun ki bunyaad idhar 4 hai

aur iss tarkoun ka hypotenuse idhar 5 hai.

Aap key paas hypotenuse sirf tab hota hai jab aik right tarkoun hota hai.

Yeh woh side hai jo right zaoya key samnae hai aur yeh tarkoun ki sab sey lambi side hai.

Tou yeh aik hypotenuse hai.

Yeh shaid aap nai sitadwasti main seekha hoga.

Aur aap iss baat ki tasdeeq kar sakte hain keh yeh right tarkoun hai--kunke the sides nikal ati hain-

humain pythagoras theorem sey pehley hi maloom hai keh 3 marbah

jama 4 marbah,sab sey lambi side key barabar hoga,

hypotenuse ki lambai marbah 5 marbah key barabar hai

tou aap tasdeeq kar sakte hain keh

yeh pythagoras theorem keh mutabiq hai.

Ab uss ko raste sey nikaal kar kuch trignometry key bare main seekhtai hain.

trignometry keh khaas functions,

hum in key baare main kuch zayada jante hain keh in function ka kya matlab hai.

Aik tou sine function hai.

Phir cosine function hai aur phir tangent function.

Aur aap inhain chota kar keh likhtae hai,S-I-N,C-O-S,aur 'tan'.

Aur yeh kisi bhi zaoya ki wazahat karte hain aik tarkoun main,

yeh kisi khaas sides key tanasib ki wazahat karte hain.

Tou mujhe kuch likhnae dain.

Yeh yahan par aik kism ka mnemonic hai,

tou kuch aisa jo aap ko in functions keh maani yaad rakh wai

magr main likhnae wala hun 'soh cah

toa',aap hairan hongai keh yeh mnemonic kitna door tak aap ko trignometry main ley kar jaye ga.

Humare paas 'soh cah toa hai aur humain yeh batata hai

keh 'soh' main sine barabar hai samane wale keh upar hypotenuse.

Yeh humain bata raha hai .Aur abhi iss ki zayada samajh nai lagae gi,

main abhi issey poora samjhat hun aik lamahin tak.

Aur phir cosine barabar hai adjacent upar hypotenuse.

Aur phir aakhir aap key paas hai tangent,

jo barabar hai opposite upar adjacent.

Tou aap shaid yeh keh rahe hongai," hey,sal, what is all this "opposite"

"hypotenuse,"adjacent",hum kya aat kar rahe hain?"

Theek hai,hum yahan aik zaoya leyte hain.

Kehta hain keh yeh zaoya yahan par theta hai,

lambai 4 ki side key darmayan aur

lamabai 5 ki side keh.Yeh theta hai.

Tou aao nikalain theta ka sine,

theta ka cosine,aur tangent theta

ka kya hai.

Tou agar hum pehley theta key sine par towajah rakhna chahtey hai

humain sirf yaad rakhna hoga 'soh cah toa',

sine opposite upar hypotenuse hai tou theta ka sine barabar hai opposite ka-

tou zawaya key opposite side konsi hai?

Tou yeh hai humara zawaya yahan par,opposite side

agar hum sirf opposite side par jain

woh wali sides nai jo zawaya key adjacent hain,

tou the opposite side 3 hai,

agar aap thora sa-yeh uss 3 par khul raha hai,

tou opposite side 3 hai.

Aur phir hypotenuse kya hai?

theek hai humain pehley ka pata hai-hypotenuse yahan par 5 hai.

tou yeh 3 upar 5 hai

Theta ka sine 3/5 hai

Aur main aap ko dekhata hun theta ka sine-

agar yeh zawaya koi khaas zawaya ho bhi iss ka sine 3/5 hi hoga.

opposite ka hypotenuse sey tanasib hamesha wohi hoga

agar asal wala tarkoun aik bara tarkoun ho bhi

ya aik chota wala.

Main aap ko dehata hun.

Tou sare trig functions main sey guzarte hain.

Chalo sochte hain keh cosine theta ka kya hoga.

Cosine hai adjacent upar hypotenuse tou yaad rakhna-

mujhe unhain label karnae dou.

Hum nae pehley hi nikaal liya keh 3 opposite side hai.

Yeh hai opposite side.

Aur sirf tab jab hum is zawaya ki baat kar rahe hun.

Aur hum iss zawaya ki baat kar rahe hai-yeh zawaya uss key opposite hai.

Jab hum iss zawaya ki baat kar rahe hun tou yeh 4 side

iss key adjacent hai,

yeh un sides main hai jo banate hain

yahan par aik vertex.

Tou yeh yahan par adjacent side hai.

Aur main bohat saaf hona chata hun keh yeh sirf

iss zawaya par asar karti hai.

Agar hum iss zawaya ki baat kar rahe hun,

tou yeh hari side opposite hogi,

aur yeh yellow side adjacent

Magar hum ahi sirf iss zawaya par dekh rahe hain.

tou iss zawaya ka cosine-tou iss zawaya ki adjacent side 4 hai,

tou adjacent upar hypotenuse,

adjacent jo 4 haai upar hypotenuse,

4 par 5.

Ab hum tangent karte hain.

Chalo tangent karain.

Theta ka tangent:opposite par adjacent hai.

opposite 3 hai.Adjacent side kya hai?

hum nai pehley sey hi nikaal liya hai keh woh adjacent

side 4 hai.

Tou iss right tarkoun ki sides jaan kar

hum nikal sake khaas trig tanasib.

Aur hum aur trig tanasib dekhain gai,

magar woh sare in teen

bunyadi trig functions sey nikaale ja sakte hain.

Ab hum aik aur zawaya key bare y main sochte hain jo iss tarkoun main ho,

aur main issey phir sey banaoun ga kunke yeh ganda hogaya hai.

Tou main phir sey banaoun ga bilkul wohi tarkoun.

Bilkul wohi tarkoun.

Aur phir aik dafa, tarkoun ki lambai hain

4 aur 3

aur yahan 5.

Pichley masal main hum nai theta istamaal kiya.

Magar aik aur zawaya karte hain,aik aur zawaya karte hain yahan par,

aur issey kehte hain

aik aam sa greek lafzT

Tou issey kehte hain psi.

main janta hun yeh zara ajeeb hai.

Theta hai jo aap zayada tak istamal karte hain

magar kunke mainae theta istamal karliya hai tou psi istamaal kartey hain.

Ya main issey saadha banta hun

isse hum zawaya x kahain gai.

Tou isse zawaya x kahin.

Tou iss angle key liye trig fun