Class 11 Trigonometry Formula
The formula for class 11 calculation is the most common one known to men. It’s also used to be a pointer to teach classes. Since class 11 preparation includes all subjects of one’s choice, the formula has a special meaning for students. But be that as it may, the math knowledge that you learn and understand affects the requirement for class 11 preparation. Without knowing the formula, the only option you have is to believe that the class 11 calculation is a straight yes/no equation.
But, the formula isn’t simply a yes or no computation. That’s just the tip of the pyramid. The element that makes the algorithm a rule in a world where sometimes class 11 is the exception, is diversity. Diversity comes into play when you know that there are a wide variety of eight separate rules. The beauty of class 11 planning lies in its flexibility.
Understanding the eight different rules
The eight different rules of class 11 preparation play a major role in limiting class 11 teachers. These rules allow students to choose their courses, classes, or subjects, all of which will be specific to their abilities and interests. Let’s briefly walk through those eight different rules.
Rule #1. Multiple courses, classes, and subjects should be available. The reason for multiple courses, classes, and subjects is for students to have variety. Even if you are selected for the same class, you’ll choose another class. Choice ensures you’ll be exposed to other areas of knowledge. The rule also allows students to bypass difficult aspects. If one of the subjects is a difficult subject, it will be at the top of your list when you choose a class. In the end, class 11 planning can be so much more than a straightforward yes/no calculation.
Rule #2. Mathematics is taught in a linear, exponential, and random fashion. The reason for math being taught in a linear, exponential, and random fashion is for students to be interested in it. Perhaps, you want to know how to plan an engine, juggle some of your money, or solve some tough physics problems. These are all math-related subjects. Regardless of which are the few words you use to explain your problem-solving process, you’ll learn geometry and trigonometry from the same concept. Taking the class will expose you to the world of math, and you’ll quickly learn calculus. Your programming password will change as your choice of course grows.
Rule #3. The most important class required for class 11 planning is mathematics. Mathematics is the only one of the eight rules that students actually need to know. In effect, mathematical education is all-encompassing. Despite your math knowledge, learning calculus, algebra, probability, probability, notation, and mathematical terms is important.
Rule #4. Although the last two rules aren’t required for class 11 planning. Knowledge of geometry is still critical. At least one of these eight rules should be current for you to use as a tool for research. All this knowledge has been named math, but it’s math’s ability to be applied in real-world situations that carry a lesson. Mathematics has grown as much as you’ve been taught it.
Rule #5. If none of these eight rules are current and relevant for the academic world of math and sciences, class 11 planning is a teacher-made regulation and the law of the land for learning to be irrelevant. If none of the eight rules are relevant to the classroom setup, all the other rules are more than enough for students to know.
Class 11 calculator is also like a cap on the teacher’s options. Schools are in the no-win territory when it comes to this solution. They either believe class 11 calculus needs to be current and relevant, or students will decide not to take it. Schools are able to increase class 11 planning by going from the previously mentioned rules only to other parameters like early math readiness or prior knowledge of class 11 preparation for math learning. The most common way they do this is through the requirement. For each set of 8 rules, schools can install up to three mathematical representations as a carrot. The more points your organization or school gets, the more requirements it is able to add.
Class 11 calculator is used to prepare the teachers for class 11. In fact, teachers who aren’t prepared for math learning or only know their class plans are also relying on class 11 calculators to help plan. Giving teachers a few extra guidelines, or carrots can be a solid starting point to help you learn math. So, if the decision-making process for class 11 planning is in your hands, take the time to think about the overall rule, how each rule might impact your lesson plan, and how to best match the system to your individual learning style.
List of Class 11 Trigonometry Formulas
Trigonometry Formulas
sin (- θ) = -sin θ
cos (- θ) = cos θ
tan (- θ) = -tan θ
cot (- θ) = -cot θ
sec (- θ) = sec θ
cosec (- θ) = -cosec θ
Product to Sum Formulas
sin x sin y = 1/2 [cos(x–y) − cos(x+y)]
cos x cos y = 1/2[cos(x–y) + cos(x+y)]
sin x cos y = 1/2[sin(x+y) + sin(x−y)]
cos x sin y = 1/2[sin(x+y) – sin(x−y)]
Sum to Product Formulas
sin x + sin y = 2 sin [(x+y)/2] cos [(x-y)/2]
sin x – sin y = 2 cos [(x+y)/2] sin [(x-y)/2]
cos x + cos y = 2 cos [(x+y)/2] cos [(x-y)/2]
cos x – cos y = -2 sin [(x+y)/2] sin [(x-y)/2]
Trigonometric Identities
sin² θ + cos² θ = 1
sec² θ = 1 + tan² θ
cosec² θ = 1 + cot² θ
Sign to Trigonometric Functions in Different Quadrants
Quadrants→ |
I |
II |
III |
IV |
Sin A |
+ |
+ |
– |
– |
Cos A |
+ |
– |
– |
+ |
Tan A |
+ |
– |
+ |
– |
Cot A |
+ |
– |
+ |
– |
Sec A |
+ |
– |
– |
+ |
Cosec A |
+ |
+ |
– |
– |
Basic Trigonometric Formulas for Class 11
cos (A + B) = cos A cos B – sin A sin B
cos (A – B) = cos A cos B + sin A sin B
sin (A+B) = sin A cos B + cos A sin B
sin (A -B) = sin A cos B – cos A sin B
In light of the above expansion recipes for sin and cos, we get the accompanying underneath equations::
sin(π/2-A) = cos A
cos(π/2-A) = sin A
sin(π-A) = sin A
cos(π-A) = -cos A
sin(π+A)=-sin A
cos(π+A)=-cos A
sin(2π-A) = -sin A
cos(2π-A) = cos A
If none of the angles A, B, and (A ± B) is an odd multiple of π/2, then
tan(A+B) = [(tan A + tan B)/(1 – tan A tan B)]
tan(A-B) = [(tan A – tan B)/(1 + tan A tan B)]
If none of the angles A, B, and (A ± B) is a multiple of π, then
cot(A+B) = [(cot A cot B − 1)/(cot B + cot A)]
cot(A-B) = [(cot A cot B + 1)/(cot B – cot A)]
Some additional formulas for sum and product of angles:
cos(A+B) cos(A–B)=cos^{2}A–sin^{2}B=cos^{2}B–sin^{2}A
sin(A+B) sin(A–B) = sin^{2}A–sin^{2}B=cos^{2}B–cos^{2}A
sinA + sinB = 2 sin (A+B)/2 cos (A-B)/2
Double Angle Formulas
sin2A = 2sinA cosA
= [2tan A + (1 + tan² A)
cos2A = cos²A-sin²A
= 1-2sin²A
= 2cos²A-1
=[(1 – tan²A / (1+ tan²A)]
tan2A = (2 tanA) / (1-tan²A)
Thrice of Angle Formulas
sin3A = 3sinA – 4 sin³A
cos3A = 4cos³A – 3cosA
tan3A = [3tanA-tan³A] / [1-3tan²A]