Home   »   Physics   »   Trigonometry Notes

The notes on the topic of trigonometry are important to memorize religiously to solve different numerals both in board exams as well as competitive exams like NEET. Every student (irrespective of the field of study) must have encountered problems related to trigonometry. That is why, students are advised to go through the trigonometry notes that are included in this post as a PDF. Comprehending trigonometry is beneficial not only for board exams but also for competitive examinations like JEE and NEET. Trigonometry is a concept that is used extensively not just in mathematics but also in physics to tackle a wide range of challenging situations. Learning all the formulas and concepts of trigonometry is one of the best ways to bolster your analytical skills, as competitive tests evaluate applicants’ conceptual clarity and analytical abilities.

## Trigonometry Notes

Physics’ main focus is the unraveling of the truth about the universe. We learn to apply both basic and advanced scientific ideas to explain the numerous phenomena that occur in our environment by using mathematical tools. These mathematical tools are used to describe concepts, laws, theories, and principles, as well as their implications. It is crucial that students preparing for the NEET exam master certain mathematical tools because of this. Acquiring knowledge of trigonometry is a crucial step in enhancing students’ mathematical abilities, which will aid them in resolving several intricate difficulties related to the examination. To help students in their journey, our expert faculty at Adda 247 have explained all the important concept of Trigonometry through a video. The detailed PDF notes have also been given for download so that students can revise it whenever they want. The video and PDF will prove to be very useful in solving many complex problems of Physics in the NEET exam. After going through these resources, students will not be required to go through any other resources of trigonometry for the NEET video.

## Trigonometry

The study of the relationship between a right-angled triangle’s side-to-angle ratios and its angles is known as trigonometry. One of the most significant areas of mathematics is trigonometry. The terms “trigonon” and “metron,” which denote measure and triangle, respectively, are combined to produce the word trigonometry. It is the study of how a right-angled triangle’s sides and angles relate to one another. Thus, by applying formulas and identities based on this relationship, it aids in determining the measure of unknown dimensions of a right-angled triangle.

## Trigonometry Ratios

Trigonometric Ratios, also known as Trigonometric Functions are specific ratios that help establish relation between different sides of a right angled triangle. Three crucial trigonometric functions sine, cosine, and tangent are represented by the acronyms sin, cos, and tan respectively. Apart from these three ratios, there are 03 more trigonometric ratios namely cosecant, secant, and cotangent. So, in total, there are 6 trigonometric ratios. Their meaning in terms of a right-angled triangle’s side is given below.

 Trigonometric Functions/Ratios Abbreviation Relationship to sides of a right triangle Sine Function sin Opposite side/Hypotenuse Tangent Function tan Opposite side/Adjacent side Cosine Function cos Adjacent side/Hypotenuse Cosecant Function cosec Hypotenuse/Opposite side Secant Function sec Hypotenuse/Adjacent side Cotangent Function cot Adjacent side/Opposite side

## Trigonometry Table

The trigonometry table is a table consisting of all the values for different standard angles for different trigonometric ratios. These trigonometric functions are usually listed for a variety of frequently used angles, usually in degrees or radians, in a trigonometry table. Since the angles are frequently expressed in steps of a few degrees or radians, it is easy to find the relevant values of the trigonometric functions quickly and easily without needing to do any calculations by hand. The detailed trigonometry table is given below.

 Trigonometry Table Angles (In Degrees) 0° 30° 45° 60° 90° 180° 270° 360° Angles (In Radians) 0° π/6 π/4 π/3 π/2 π 3π/2 2π sin 0 1/2 1/√2 √3/2 1 0 -1 0 cos 1 √3/2 1/√2 1/2 0 -1 0 1 tan 0 1/√3 1 √3 ∞ 0 ∞ 0 cot ∞ √3 1 1/√3 0 ∞ 0 ∞ cosec ∞ 2 √2 2/√3 1 ∞ -1 ∞ sec 1 2/√3 √2 2 ∞ -1 ∞ 1

## Trigonometry Notes Formulas

The equations that hold true for right-angled triangles are known as trigonometric formulas or identities. Below are a few unique trigonometric formulas.

 Even and Odd Angle Formulas sin(-θ) = -sinθ cos(-θ) = cosθ tan(-θ) = -tanθ Co-function Formulas sin(90°-θ) = cosθ cos(90°-θ) = sinθ tan(90°-θ) = cotθ Double Angle Formulas sin2θ = 2 sinθ cosθ cos2θ = 1 – 2sin²θ tan2θ = 2tanθ / 1- tan²θ Thrice of Angle Formulas sin2θ = 2 sinθ cosθ cos2θ = 1 – 2sin²θ tan2θ = 2tanθ / 1- tan²θ sin3θ = 3sinθ – 4 sin³θ Cos 3θ = 4cos³θ – 3 cosθ Tan 3θ = 3tanθ – tan³θ / 1-3tan²θ Trigonometric 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 Tan (A+B) = Tan A + Tan B / 1 – Tan A Tan B Tan (A-B) = Tan A – Tan B / 1 + Tan A Tan B

## Trigonometry Notes Class 10

The majority of Indian school boards begin teaching trigonometry to their students in class 10. Realizing this fact haunts students who have just started their class 10th, we have covered important notes for class 10th trigonometry syllabus. When students study trigonometry for the first time, they find it difficult. This is because they are unfamiliar with the notion of trigonometry. The trigonometry table is intended for standard angles of 0, 30, 45, 60, and 90 degrees for this reason. The values of Sin and Cos for the aforementioned standard angles are shown in this trigonometry table. This trigonometry table can be quickly memorized, which will help one do well on exams and provide a solid foundation for further study. Below is a tabular version of the class 10 trigonometry table.

 Trigonometry Table Class 10 Angles 0° 30° 45° 60° 90° sin 0 1/2 1/√2 √3/2 1 cos 1 √3/2 1/√2 1/2 0

Apart from the angle values table, some important formulas present in the Trigonometry class 10 syllabus is given below.

sinΘ = perpendicular (p)/hypotenuse (h)

cosΘ = base (b)/hypotenuse (h)

tanΘ = perpendicular (p)/base (b)

cosecΘ = hypotenuse (h)/perpendicular (p)

secΘ = hypotenuse (h)/base (b)

cotΘ = base (b)/perpendicular (p)

sinθ = 1/cosecθ and vice versa

cosθ = 1/secθ and vice versa

tanθ = 1/cotθ and vice versa

tan θ = sinθ/cosθ

cot θ = cosθ/sinθ

sin²θ + cos²θ = 1

1 + tan²θ = sec²θ

1 + cot²θ = cosec²θ

## Trigonometry for NEET

Although trigonometry is not specifically included in the NEET syllabus, it is necessary to comprehend and solve some of the exam’s physics topics. Therefore, candidates for NEET may find it helpful to have a rudimentary understanding of trigonometry. To crack the National Eligibility and Entrance Test (NEET), students are required to learn the concepts of trigonometry. It is especially important for the Physics section. So, to gain more marks in Physics, aspirants must be aware of all the concepts of physics including the trigonometry concepts. Knowing the trigonometry concepts will help students solve 3-4 questions in the NEET exam. These 12-16 marks can play a crucial role in the rank of students. Observing the significance of calculus in NEET, our expert NEET expert faculty at Adda 247 have made a dedicated video on this concept.

## Trigonometry Notes PDF for NEET

Trigonometry Notes in the PDF form will help students learn and revise all the concepts of this topic for board as well as competitive exams. These notes contains important formulas, tricks and solved questions to fully prepare students for the NEET exam. By going through the notes and video explanation of Trigonometry, students will surely get a complete clarity on this concept. The notes given below as well as the video explanation given in the subsequent section is more than enough for this concept. Students then won’t have to look for any other resources for this topic.

## Trigonometry Video for NEET

Below is a one-shot video that explains every little idea and detail related to trigonometry. The knowledgeable NEET faculty of Adda 247 has created this dedicated video, which goes over every trigonometric details required for the NEET exam. In the context of trigonometry, no questions outside of this video will be asked in the physics segment of the NEET test. For the NEET test, this video covers every trigonometry topic, from fundamental to advanced. Therefore, watching the entire video is highly recommended if you want to learn everything there is to know about trigonometry for NEET.

Sharing is caring!

## FAQs

### Is trigonometry important for the NEET exam?

Yes, it is crucial to learn trigonometry for the NEET UG exam. While trigonometry is not directly included in the NEET syllabus, it is essential for understanding and solving certain physics problems in the exam.

### How many trigonometric ratios are there?

There are 6 trigonometric ratios. These ratios are sin, cos, tan, cosec, sec, and cot.

### What is the value of cos(-θ)?

The value of cos(-θ) is cosθ.

Hi there, I am Ashish and have completed my education from Science Domain. I have 2 years of experience in content creation, catering to the demands of young students. I provide written content related to NEET, JEE, Board Exams, CLAT, CUET (UG & PG) and management exams in a simple manner. My content provides important insights on several topics in depth.