Trigonometry Basics

Trigonometry Basics : LIVE Class at 8 PM Today!
Introduction of Trigonometry will be discussed in a simple way!

At Manocha Academy, learning Science and Math is Easy! The school coursework is explained with simple examples that you experience every day! Yes, Science & Math is all around you! Let's learn every day from everyday life!

[duggirambabu]

Q). *In a right angle triangle, if A = 90° and tanC = √3 then find sinB cosC + cosB sin C*

Sol:
*Method1:*
tanC = √3 = tan60°
⇒C = 60°

We know that A + B + C = 180°
⇒90° + B + 60° = 180°
⇒B = 30°

∴ *sinB cosC + cosB sinC*
= sin30° cos60° + cos30° sin60°
= (1/2)(1/2) + (√3/2)(√3/2)
= 1/4 + 3/4
*= 1*

*Method2:*
*sinB cosC + cosB sinC*
= sin(B+C)
= sin(180°-A)
= sinA
= sin90°
*= 1*

[bestasphaltplayer]

This guys is single handedly better than my entire school with 50 teachers

[sjhyzec]

The answer is ....
Tan C = √3
By trigonometric table,
tan = √3, then C = 60°

By angle sum property,
∠a + ∠b + ∠c = 180°
90° + ∠b + 60° = 180° ; 150° + ∠b = 180°
∠b = 180° - 150° ; ∠b = 30°

By trigonometric table,
Sin B = Sin (30°) = ½
Cos B = Cos (30°) = √3/2
Sin C = Sin (60°) = √3/2
Cos C = Cos (60°) = ½

Sin B x Cos C = ½ x ½ = ¼
Cos B x Sin C = √3/2 x √3/2 = ¾

From the equation,
Sin B Cos C + Cos B Sin C = ¼ + ¾ = 4/4 = 1.

So the answer to this equation is 1.

[kontrol_hz]

Not Gonna Lie but MANOCHA ACADEMY IS BETTER THAN BYJU'S

[bestasphaltplayer]

52 minutes and 25 seconds of pure master piece

[nihalMaTh]

sir i am in 9th std, and i had the curiosity to learn the basics of trigonometry, and my wish is now fulfilled only because of you sir, thank you sir

[badhribhaskaran]

I think the answer for the homework question is 1, as tan 60 is √3/1. The hypotenuse will be 2 when calculated by Pythagoras theorem. Therefore, sin B=1/2 and B is 30. cos C=1/2 and sinBcosC is 1/4. cosB is √3/2 and sinC is √3/2 and cosBsinC is √3/2 * √3/2 = √9/4 = 3/4. When they are added 1/4+3/4= 4/4=1, so the answer for the question must be 1..

[jjlrb_b]

I'm in class 7th, my bro said trigonometry is hard i just came to check it out and damn it is hard💀

[krk]

Thanks a lot sir for the explanation, i can picture a paper where i have already got everything correct

[bhavanipakki]

For tommorow's exam u helped me a lot sir thank you very much

[pranavabalabaskar]

It's even more easier as we learned in school to call those formulas with sides, adjacent, etc... but here with calling it as perpendicular and hypotenuse like p/h, b/h, p/b makes it more easier than that type

[krk]

if it helps please like... for sin cos and tan theta if someone is using adjascent opposite and hypotenuse an easy way to remember this is Old Henry for O/H (opposite by hypotenuse for sin theta), And His for cos theta Old aunt for tan theta so the sentence formed will be Old Henry And His Old Aunt

[drmeganathp]

Even my physics sir shows ur videos in online I m not at all joking..

[poornimavyas]

You are one of the best teacher in the world sir, thank you for your support

[binuphilip]

Can we call Base and Perpendicular as Opposite and Adjacent??
My maths teacher taught us like that!!

[shiftupz]

9th guys dont take trigonometry lightly if you want to acquire Engineering and other technical studies ahead did take it lightly in my school days that time i was good at it but then i started taking it more lightly ...and now 21 yr old me watching it back right from beginning 🥲🥲🥲

[vijayalakshmik]

Spending 52 minutes for this video is valuable, very very valuable....
And also Sir, I like your way of teaching.

[thilak_]

sir....ur the only one teaching in english...most of the teachers take in hindi..i cant understand...im from tamilnadu....tq soo much for taking the class in english

[SukhdavKaushik-stql]

For guys who don't understand
I explained you have seen protractor which is shaped like D
We use D to draw angle we draw 90°angle which is called right angle a right angle have 3 side hypotenuse adjacent and opposite the diagnol line is hypotenuse right to it is opposite and left is adjacent
When you take length of adjacent and make it square the make square with opposite side which number is given is given then you got square of hypotenuse in math it is called Pythagoras theorem a²+b²=c²
Adjacent is 3cm opposite is 4cm
Then according to Pythagoras theorem 3 square is 9 and 4 square is 16 and a²+b²=c²
9+16=25 and √25=5 length of hypotenuse is 5 cm

[teamrtg]

For better Iq, for better education, for better qualification join manocha academy👍🏻