All trigonometry formula class 12

All Trigonometry Formulas List Most Trigonometry formulas revolve around ratios and extremely handy to solve complex problems in Trigonometry. If you want to appear for any competitive exams after your school then hands-on knowledge of different Trigonometry formulas is essential. The basic of any Trigonometry formula is a Trigonometry Identity. So, you must be curious to know about Trigonometric identities, let us discuss the same in the next section. Periodicity Trigonometry Formulas • \(sin(x+2\pi )=sin\; x\) • \(cos(x+2\pi )=cos\; x\) • \(tan(x+\pi )=tan\; x\) • \(cot(x+\pi )=cot\; x\) Co-function Trigonometry Formulas • \(sin(90^ \right )\) Video of All Trigonometry Formulas Trigonometric Values of Special Angles Degree sin cos tan cot sec cosec 0∘ 0 1 0 Not Defined 1 Not Defined 30∘ \[\frac\] 90∘ 1 0 Not Defined 0 Not Defined 1 The word Trigonometry was derived from the Greek words th century. So, this is not a new concept but into the existence of centuries and played an important role in the discovery of various mathematical and scientific theories. One of the biggest benefits of this Trigonometric Identities Trigonometry identities are \(\sin \theta = \frac\) Trigonometric Equations A basic Trigonometric formulas and identities. There are only a few equations that can be solved manually otherwise you need a calculator and special skills to find the solution to any Trigonometry problem. Why there is a need for Trigonometry Formula for Students? As discussed earlier...

Inverse Trigonometric Formulas Inverse Trigonometric Formulas: Trigonometry is a part of geometry, where we learn about the relationships between angles and sides of a right-angled triangle. In Class 11 and 12 Maths syllabus, you will come across a list of -1x, cos -1x, cot -1 x, tan -1 x, cosec -1 x, sec -1 x. Now, let us get the formulas related to these functions. What is Inverse Trigonometric Function? The inverse trigonometric functions are also known as the anti trigonometric functions or sometimes called arcus functions or cyclometric functions. The Consider, the function y = f(x), and x = g(y) then the inverse function is written as g = f -1, This means that if y=f(x), then x = f -1(y). Such that f(g(y))=y and g(f(y))=x. Example of Inverse trigonometric functions: x= sin -1y The list of inverse trigonometric functions with domain and range value is given below: Functions Domain Range Sin -1 x [-1, 1] [-Ï€/2, Ï€/2] Cos -1x [-1, 1] [0, Ï€/2] Tan -1 x R (-Ï€/2, Ï€/2) Cosec -1 x R-(-1,1) [-Ï€/2, Ï€/2] Sec -1 x R-(-1,1) [0,Ï€]- Inverse Trigonometric Formulas List To solve the different types of inverse S.No Inverse Trigonometric Formulas 1 sin -1(-x) = -sin -1(x), x ∈ [-1, 1] 2 cos -1(-x) = Ï€ -cos -1(x), x ∈ [-1, 1] 3 tan -1(-x) = -tan -1(x), x ∈ R 4 cosec -1(-x) = -cosec -1(x), |x| ≥ 1 5 sec -1(-x) = Ï€ -sec -1(x), |x| ≥ 1 6 cot -1(-x) = Ï€ – cot -1(x), x ∈ R 7 sin -1x + cos -1x = Ï€/2 , x ∈ [-1, 1] 8 tan -1x + cot -1x = Ï€/2 , x ∈ R 9 sec -1x + cosec...

Inverse Trigonometric Formulas are part of Trigonometry which is further an element of geometry. Inverse trigonometric functions formulas enable us to learn about the association between sides and angles of a right-angled triangle. In Class 11 and 12, you will come across inverse trigonometric functions formulas list Class 12 PDF, based on the ratios and functions such as sin, cos, and tan. In the same manner, the inverse trigonometric functions are expressed as sin -1 x, cos -1 x, tan -1 x, cot -1 x, sec -1 x, cosec -1 x. Now, let us get the formulas linked with these functions. In order to solve different types of inverse trigonometric functions, inverse trigonometry formulas are extracted from some basic properties of trigonometry. Inverse trigonometric function formula list is provided below for reference to solve the problems. Inverse Trigonometric Functions Formulas S.No Inverse Trigonometry Class 12 Formulas 1 sin -1 (-x) = -sin -1 (x), x ∈ [-1, 1] 2 cos -1 (-x) = π -cos -1 (x), x ∈ [-1, 1] 3 tan -1 (-x) = -tan -1 (x), x ∈ R 4 cot -1 (-x) = π – cot -1 (x), x ∈ R 5 sec -1 (-x) = π -sec -1 (x), |x| ≥ 1 6 cosec -1 (-x) = -cosec -1 (x), |x| ≥ 1 7 sin -1 x + cos -1 x = π/2 , x ∈ [-1, 1] 8 sin -1 (1/x) = cosec -1 (x), if x ≥ 1 or x ≤ -1 9 cos -1 (1/x) = sec -1 (x), if x ≥ 1 or x ≤ -1 10 tan -1 x + cot -1 x = π/2 , x ∈ R 11 tan -1 (1/x) = cot -1 (x), x > 0 12 tan -1 x + tan -1 y = tan -1 ((x+y)/(1-xy)), if the value xy -1 14 2 tan -1 x = sin -1 (2x/(1+x 2 )), |x| ≤ 1 15 s...

Reciprocal Identities: $cosec(x) = \frac $ |cos x|=1, general solution is given by $x=n \pi$ Some basics Tips to solve the trigonometry questions (1) Always try to bring the multiple angles to single angles using the basic formula. Make sure all your angles are the same. Using $sin(2x)$ and $sin(x)$ is difficult, but if you use $sin(2x) = 2 sin(x)cos(x)$, that leaves $sin(x)$ and $cos(x)$, and now all your functions match. The same goes for addition and subtraction: don’t try working with $sin(x+y)$ and $sin (x-y)$. Instead, use $sin(X+Y) = sin(x)cos(y)+cos(x)sin(y)$ so that all the angles match (2) Converting to sin and cos all the items in the problem using a basic formula. I have mentioned sin and cos as they are easy to solve. You can use any other also. (3)Check all the angles for sums and differences and use the appropriate identities to remove them. (4) Use Pythagorean identifies to simplify the equations (5) Practice and Practice. You will soon start figuring out the equation and their symmetry to resolve them fast Download all the trigonometry Formulas below Hope you like this compilation of Trigonometry Formulas for class 11. This will be very useful for the Maths students Download Trigonometry Formulas PDF

Inverse Trigonometric Formulas are part of Trigonometry which is further an element of geometry. Inverse trigonometric functions formulas enable us to learn about the association between sides and angles of a right-angled triangle. In Class 11 and 12, you will come across inverse trigonometric functions formulas list Class 12 PDF, based on the ratios and functions such as sin, cos, and tan. In the same manner, the inverse trigonometric functions are expressed as sin -1 x, cos -1 x, tan -1 x, cot -1 x, sec -1 x, cosec -1 x. Now, let us get the formulas linked with these functions. In order to solve different types of inverse trigonometric functions, inverse trigonometry formulas are extracted from some basic properties of trigonometry. Inverse trigonometric function formula list is provided below for reference to solve the problems. Inverse Trigonometric Functions Formulas S.No Inverse Trigonometry Class 12 Formulas 1 sin -1 (-x) = -sin -1 (x), x ∈ [-1, 1] 2 cos -1 (-x) = π -cos -1 (x), x ∈ [-1, 1] 3 tan -1 (-x) = -tan -1 (x), x ∈ R 4 cot -1 (-x) = π – cot -1 (x), x ∈ R 5 sec -1 (-x) = π -sec -1 (x), |x| ≥ 1 6 cosec -1 (-x) = -cosec -1 (x), |x| ≥ 1 7 sin -1 x + cos -1 x = π/2 , x ∈ [-1, 1] 8 sin -1 (1/x) = cosec -1 (x), if x ≥ 1 or x ≤ -1 9 cos -1 (1/x) = sec -1 (x), if x ≥ 1 or x ≤ -1 10 tan -1 x + cot -1 x = π/2 , x ∈ R 11 tan -1 (1/x) = cot -1 (x), x > 0 12 tan -1 x + tan -1 y = tan -1 ((x+y)/(1-xy)), if the value xy -1 14 2 tan -1 x = sin -1 (2x/(1+x 2 )), |x| ≤ 1 15 s...

All Trigonometry Formulas List Most Trigonometry formulas revolve around ratios and extremely handy to solve complex problems in Trigonometry. If you want to appear for any competitive exams after your school then hands-on knowledge of different Trigonometry formulas is essential. The basic of any Trigonometry formula is a Trigonometry Identity. So, you must be curious to know about Trigonometric identities, let us discuss the same in the next section. Periodicity Trigonometry Formulas • \(sin(x+2\pi )=sin\; x\) • \(cos(x+2\pi )=cos\; x\) • \(tan(x+\pi )=tan\; x\) • \(cot(x+\pi )=cot\; x\) Co-function Trigonometry Formulas • \(sin(90^ \right )\) Video of All Trigonometry Formulas Trigonometric Values of Special Angles Degree sin cos tan cot sec cosec 0∘ 0 1 0 Not Defined 1 Not Defined 30∘ \[\frac\] 90∘ 1 0 Not Defined 0 Not Defined 1 The word Trigonometry was derived from the Greek words th century. So, this is not a new concept but into the existence of centuries and played an important role in the discovery of various mathematical and scientific theories. One of the biggest benefits of this Trigonometric Identities Trigonometry identities are \(\sin \theta = \frac\) Trigonometric Equations A basic Trigonometric formulas and identities. There are only a few equations that can be solved manually otherwise you need a calculator and special skills to find the solution to any Trigonometry problem. Why there is a need for Trigonometry Formula for Students? As discussed earlier...

Inverse Trigonometric Formulas Inverse Trigonometric Formulas: Trigonometry is a part of geometry, where we learn about the relationships between angles and sides of a right-angled triangle. In Class 11 and 12 Maths syllabus, you will come across a list of -1x, cos -1x, cot -1 x, tan -1 x, cosec -1 x, sec -1 x. Now, let us get the formulas related to these functions. What is Inverse Trigonometric Function? The inverse trigonometric functions are also known as the anti trigonometric functions or sometimes called arcus functions or cyclometric functions. The Consider, the function y = f(x), and x = g(y) then the inverse function is written as g = f -1, This means that if y=f(x), then x = f -1(y). Such that f(g(y))=y and g(f(y))=x. Example of Inverse trigonometric functions: x= sin -1y The list of inverse trigonometric functions with domain and range value is given below: Functions Domain Range Sin -1 x [-1, 1] [-Ï€/2, Ï€/2] Cos -1x [-1, 1] [0, Ï€/2] Tan -1 x R (-Ï€/2, Ï€/2) Cosec -1 x R-(-1,1) [-Ï€/2, Ï€/2] Sec -1 x R-(-1,1) [0,Ï€]- Inverse Trigonometric Formulas List To solve the different types of inverse S.No Inverse Trigonometric Formulas 1 sin -1(-x) = -sin -1(x), x ∈ [-1, 1] 2 cos -1(-x) = Ï€ -cos -1(x), x ∈ [-1, 1] 3 tan -1(-x) = -tan -1(x), x ∈ R 4 cosec -1(-x) = -cosec -1(x), |x| ≥ 1 5 sec -1(-x) = Ï€ -sec -1(x), |x| ≥ 1 6 cot -1(-x) = Ï€ – cot -1(x), x ∈ R 7 sin -1x + cos -1x = Ï€/2 , x ∈ [-1, 1] 8 tan -1x + cot -1x = Ï€/2 , x ∈ R 9 sec -1x + cosec...

Inverse Trigonometric Formulas Inverse Trigonometric Formulas: Trigonometry is a part of geometry, where we learn about the relationships between angles and sides of a right-angled triangle. In Class 11 and 12 Maths syllabus, you will come across a list of -1x, cos -1x, cot -1 x, tan -1 x, cosec -1 x, sec -1 x. Now, let us get the formulas related to these functions. What is Inverse Trigonometric Function? The inverse trigonometric functions are also known as the anti trigonometric functions or sometimes called arcus functions or cyclometric functions. The Consider, the function y = f(x), and x = g(y) then the inverse function is written as g = f -1, This means that if y=f(x), then x = f -1(y). Such that f(g(y))=y and g(f(y))=x. Example of Inverse trigonometric functions: x= sin -1y The list of inverse trigonometric functions with domain and range value is given below: Functions Domain Range Sin -1 x [-1, 1] [-Ï€/2, Ï€/2] Cos -1x [-1, 1] [0, Ï€/2] Tan -1 x R (-Ï€/2, Ï€/2) Cosec -1 x R-(-1,1) [-Ï€/2, Ï€/2] Sec -1 x R-(-1,1) [0,Ï€]- Inverse Trigonometric Formulas List To solve the different types of inverse S.No Inverse Trigonometric Formulas 1 sin -1(-x) = -sin -1(x), x ∈ [-1, 1] 2 cos -1(-x) = Ï€ -cos -1(x), x ∈ [-1, 1] 3 tan -1(-x) = -tan -1(x), x ∈ R 4 cosec -1(-x) = -cosec -1(x), |x| ≥ 1 5 sec -1(-x) = Ï€ -sec -1(x), |x| ≥ 1 6 cot -1(-x) = Ï€ – cot -1(x), x ∈ R 7 sin -1x + cos -1x = Ï€/2 , x ∈ [-1, 1] 8 tan -1x + cot -1x = Ï€/2 , x ∈ R 9 sec -1x + cosec...

All Trigonometry Formulas List Most Trigonometry formulas revolve around ratios and extremely handy to solve complex problems in Trigonometry. If you want to appear for any competitive exams after your school then hands-on knowledge of different Trigonometry formulas is essential. The basic of any Trigonometry formula is a Trigonometry Identity. So, you must be curious to know about Trigonometric identities, let us discuss the same in the next section. Periodicity Trigonometry Formulas • \(sin(x+2\pi )=sin\; x\) • \(cos(x+2\pi )=cos\; x\) • \(tan(x+\pi )=tan\; x\) • \(cot(x+\pi )=cot\; x\) Co-function Trigonometry Formulas • \(sin(90^ \right )\) Video of All Trigonometry Formulas Trigonometric Values of Special Angles Degree sin cos tan cot sec cosec 0∘ 0 1 0 Not Defined 1 Not Defined 30∘ \[\frac\] 90∘ 1 0 Not Defined 0 Not Defined 1 The word Trigonometry was derived from the Greek words th century. So, this is not a new concept but into the existence of centuries and played an important role in the discovery of various mathematical and scientific theories. One of the biggest benefits of this Trigonometric Identities Trigonometry identities are \(\sin \theta = \frac\) Trigonometric Equations A basic Trigonometric formulas and identities. There are only a few equations that can be solved manually otherwise you need a calculator and special skills to find the solution to any Trigonometry problem. Why there is a need for Trigonometry Formula for Students? As discussed earlier...

Inverse Trigonometric Formulas are part of Trigonometry which is further an element of geometry. Inverse trigonometric functions formulas enable us to learn about the association between sides and angles of a right-angled triangle. In Class 11 and 12, you will come across inverse trigonometric functions formulas list Class 12 PDF, based on the ratios and functions such as sin, cos, and tan. In the same manner, the inverse trigonometric functions are expressed as sin -1 x, cos -1 x, tan -1 x, cot -1 x, sec -1 x, cosec -1 x. Now, let us get the formulas linked with these functions. In order to solve different types of inverse trigonometric functions, inverse trigonometry formulas are extracted from some basic properties of trigonometry. Inverse trigonometric function formula list is provided below for reference to solve the problems. Inverse Trigonometric Functions Formulas S.No Inverse Trigonometry Class 12 Formulas 1 sin -1 (-x) = -sin -1 (x), x ∈ [-1, 1] 2 cos -1 (-x) = π -cos -1 (x), x ∈ [-1, 1] 3 tan -1 (-x) = -tan -1 (x), x ∈ R 4 cot -1 (-x) = π – cot -1 (x), x ∈ R 5 sec -1 (-x) = π -sec -1 (x), |x| ≥ 1 6 cosec -1 (-x) = -cosec -1 (x), |x| ≥ 1 7 sin -1 x + cos -1 x = π/2 , x ∈ [-1, 1] 8 sin -1 (1/x) = cosec -1 (x), if x ≥ 1 or x ≤ -1 9 cos -1 (1/x) = sec -1 (x), if x ≥ 1 or x ≤ -1 10 tan -1 x + cot -1 x = π/2 , x ∈ R 11 tan -1 (1/x) = cot -1 (x), x > 0 12 tan -1 x + tan -1 y = tan -1 ((x+y)/(1-xy)), if the value xy -1 14 2 tan -1 x = sin -1 (2x/(1+x 2 )), |x| ≤ 1 15 s...