Trigonometry formulas list is provided here based on trigonometry ratios such as sine, cosine, tangent, cotangent, secant and cosecant. These formulas are used to solve various trigonometry problems. In Mathematics, trigonometry is one of the most important topics to learn. Trigonometry is basically the study of triangles where ‘Trigon’ means triangle and ‘metry’ means measurement. With reference to a right-angled triangle, the list of trigonometry formulas has been formulated. All the trigonometric formulas are based on identities and ratios. The relationship between angles and length of the sides of the triangle is formulated with the help of trigonometry concepts. The list of trigonometry based formulas will be helpful for students to solve trigonometric problems easily. Below is the list of formulas based on the right-angled triangle and unit circle, which can be used as a reference to study trigonometry.
Superb class. I love the 10 days study challenge. It helps me revise every topic again timely and get ready for the boards. I have never done more 50 question in mathematics in one night. I am now doing it only because of xylem. Just like how a xylem helps the plants by transporting water, our xylem helps us to study very well for the board exam. It is inevitable.
Thrice of Angle Formulas sin3θ = 3sinθ - 4 sin3θ Cos 3θ = 4cos3θ - 3 cosθ
Sum and Difference Formulas Sin (A+B) = Sin A Cos B + Cos A Sin B Sin (A-B) = Sin A Cos B - Cos A Sin B Cos (A+B) = Cos A Cos B - Sin A Sin B Cos (A-B) = Cos A Cos B + Sin A Sin B
Product to Sum Formulas Sin A Sin B = ½ [Cos (A-B) - Cos (A+B)] Cos A Cos B = ½ [Cos (A-B) + Cos (A+B)] Sin A Cos B = ½ [Sin (A+B) + Sin (A-B)] Cos A Sin B = ½ [Sin (A+B) - Sin (A-B)] Sum to Product Formulas
Inverse Trigonometric Functions If Sin θ = x, then θ = sin-1 x = arcsin(x) Similarly, θ = cos-1x = arccos(x) θ = tan-1 x = arctan(x) Also, the inverse properties could be defined as; sin-1(sin θ) = θ cos-1(cos θ) = θ tan-1(tan θ) = θ Unit Circle With the help of unit circle, we can see here the different values of sin and cos ratios for different angles such as 0°, 30°, 45°, 60°, 90°, and so on in all the four quadrants. Trigonometry Formulas List-Unit Circle
I wanted to take a moment to express my observations and thoughts regarding your teaching skills, specifically in the context of our mathematics classes. As a student in your class, I have been fortunate to witness firsthand the impact of your teaching methods...💗
Similarly, for a unit circle, for which the radius is equal to 1, and θ is the angle. The value of the hypotenuse and adjacent side here is equal to the radius of the unit circle. Hypotenuse = Adjacent side to θ = 1 Therefore, the ratios of trigonometry are given by: sin θ = y/1 = y cos θ = x/1 = x tan θ = y/x cot θ = x/y sec θ = 1/x cosec θ = 1/y Trigonometry Identities Tangent and Cotangent Identities
"Friends, Romans, countrymen, lend me your ears; I come to bury Caesar, not to praise him. The evil that men do lives after them; The good is oft interred with their bones; So let it be with Caesar."
Sir kidillan class and it was useful ❤ (Sir I have a request for making a video about Science activities) because most of the chemistry 🧪 questions are based on activity.
this man just makes it look easy and when we see this we get the confidence to conquer maths oru award kodukk afnas sir n vendi raapakal kashtapedunna hero 🦸🏼♂ real legend🥰🔥❤
Trigonometry formulas list is provided here based on trigonometry ratios such as sine, cosine, tangent, cotangent, secant and cosecant. These formulas are used to solve various trigonometry problems.
In Mathematics, trigonometry is one of the most important topics to learn. Trigonometry is basically the study of triangles where ‘Trigon’ means triangle and ‘metry’ means measurement.
With reference to a right-angled triangle, the list of trigonometry formulas has been formulated. All the trigonometric formulas are based on identities and ratios. The relationship between angles and length of the sides of the triangle is formulated with the help of trigonometry concepts.
The list of trigonometry based formulas will be helpful for students to solve trigonometric problems easily. Below is the list of formulas based on the right-angled triangle and unit circle, which can be used as a reference to study trigonometry.
You are the best teacher I found in xylem 💚
Thankyouuu AK Sir...🔥🔥🔥
Superb class. I love the 10 days study challenge. It helps me revise every topic again timely and get ready for the boards. I have never done more 50 question in mathematics in one night. I am now doing it only because of xylem. Just like how a xylem helps the plants by transporting water, our xylem helps us to study very well for the board exam. It is inevitable.
Thank you sirrrr class was so good and very use ful🥰🥰🥰🥰🥰🥰🥰
Even and Odd Angle Formulas
sin(-θ) = -sinθ
cos(-θ) = cosθ
tan(-θ) = -tanθ
cot(-θ) = -cotθ
sec(-θ) = secθ
cosec(-θ) = -cosecθ
Co-function Formulas
sin(900-θ) = cosθ
cos(900-θ) = sinθ
tan(900-θ) = cotθ
cot(900-θ) = tanθ
sec(900-θ) = cosecθ
cosec(900-θ) = secθ
Double Angle Formulas
sin2θ = 2 sinθ cosθ
cos2θ = 1 - 2sin2θ
Half Angle Formulas
Thrice of Angle Formulas
sin3θ = 3sinθ - 4 sin3θ
Cos 3θ = 4cos3θ - 3 cosθ
Sum and Difference Formulas
Sin (A+B) = Sin A Cos B + Cos A Sin B
Sin (A-B) = Sin A Cos B - Cos A Sin B
Cos (A+B) = Cos A Cos B - Sin A Sin B
Cos (A-B) = Cos A Cos B + Sin A Sin B
Product to Sum Formulas
Sin A Sin B = ½ [Cos (A-B) - Cos (A+B)]
Cos A Cos B = ½ [Cos (A-B) + Cos (A+B)]
Sin A Cos B = ½ [Sin (A+B) + Sin (A-B)]
Cos A Sin B = ½ [Sin (A+B) - Sin (A-B)]
Sum to Product Formulas
Inverse Trigonometric Functions
If Sin θ = x, then θ = sin-1 x = arcsin(x)
Similarly,
θ = cos-1x = arccos(x)
θ = tan-1 x = arctan(x)
Also, the inverse properties could be defined as;
sin-1(sin θ) = θ
cos-1(cos θ) = θ
tan-1(tan θ) = θ
Unit Circle
With the help of unit circle, we can see here the different values of sin and cos ratios for different angles such as 0°, 30°, 45°, 60°, 90°, and so on in all the four quadrants.
Trigonometry Formulas List-Unit Circle
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Sir super aayit manasilaayi..pwoliii class...no words to expres my happiness❤
Super class ayirunu🎉🎉
This class was really useful 🔥🔥🔥🔥🔥🔥🔥
Thank you AK sir🔥🔥
I wanted to take a moment to express my observations and thoughts regarding your teaching skills, specifically in the context of our mathematics classes. As a student in your class, I have been fortunate to witness firsthand the impact of your teaching methods...💗
Similarly, for a unit circle, for which the radius is equal to 1, and θ is the angle. The value of the hypotenuse and adjacent side here is equal to the radius of the unit circle.
Hypotenuse = Adjacent side to θ = 1
Therefore, the ratios of trigonometry are given by:
sin θ = y/1 = y
cos θ = x/1 = x
tan θ = y/x
cot θ = x/y
sec θ = 1/x
cosec θ = 1/y
Trigonometry Identities
Tangent and Cotangent Identities
Super class sir it was very usefull ❤❤
Very useful class ❤❤❤❤
Thanks sirrrrr🔥🔥🔥🔥🔥
Hloi
Crystal clear aayrnnu sirrrr ❤
superb class very energetic. simple explanations
1:42:29 paraa sirrrr😂😂😂
Thank you sir. Excellent cass .It is very helpful class
This class was so useful for me and your teachind skill is ..
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Class was 🔥
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"Friends, Romans, countrymen, lend me your ears;
I come to bury Caesar, not to praise him.
The evil that men do lives after them;
The good is oft interred with their bones;
So let it be with Caesar."
1:10:00
Pattu polichu❤❤❤
Superb class 💚💚🔥🔥💥
Sir kidillan class and it was useful ❤
(Sir I have a request for making a video about Science activities) because most of the chemistry 🧪 questions are based on activity.
this man just makes it look easy
and when we see this we get the confidence to conquer maths
oru award kodukk afnas sir n vendi
raapakal kashtapedunna hero 🦸🏼♂
real legend🥰🔥❤
37:10 sir ee question inikki cheyaan kitti
SIRR pwolli class sir I really liked ur class sir fantastic explanation we need more tea hers like him
Thankyou sirr
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Pinnnooo
Adipoli class 💚💚💚
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Thankyou so much sir for this wonderful class🔥
Sir this is really Amazing....😊
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Thank you sr the class was very useful
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Poli❤️
Class super arnn sir thanks a lot sir 🫶❤️🩹
Super class
adipoli kidikachi veretha scene
Sir naale mrng vekko class please 😢 mattanna exam annh
helo
@@ehaanhameed4968 haa..
Circles inte pyq vennam
He explains better than my own Maths teacher wtf
Reciprocal Identities
sinθ = 1/cosecθ
cosecθ = 1/sinθ
cosθ = 1/secθ
secθ = 1/cosθ
tanθ = 1/cotθ
cotθ = 1/tanθ
Pythagorean Identities
sin2θ + cos2θ = 1
1 + tan2θ = sec2θ
1 + cot2θ = cosec2θ
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..... Sir.. 🙏🏻🤍
Ittas oke
Ak47🔥🔥🔥🔥🔥🔥💥💥💥💥💥💯💯💯💯💯
Malayalam chattabiii Swami 😢
Bro full padikkanda. Repeated questions nokki padicha mathi
Siuuuuuuuuuuùuuuuuuuuuuuuusuuuuususuuususuusù
Super class it is very useful 😊
Super class ❤❤
Poli❤
Super duper class 😊