1 / 5

Learn Trigonometric Table With Tricks- PW

Trigonometry is an important part of mathematics in which we study relationships between the sides and angles of a triangle. and it works in all forms of geometry.<br><br><br>

Martin40
Télécharger la présentation

Learn Trigonometric Table With Tricks- PW

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Talk to Our counsellor: Give a missed call 07019243492 Notes NCERT Solutions Reference Books Study Resources State Boards Login / Register Online Test Home / Blogs / Learn Trigonometric Table With Tricks Latest Blog LEARN TRIGONOMETRIC TABLE WITH TRICKS The Learning Hub SOF IGKO 2022 Exam Date, Eligibility, Syllabus, and Preparation Tips What is Trigonometry?  PW Saarthi : One Step Closer to Student Success Trigonometry is a branch of mathematics in which we study relationships between sides and angles of a triangle. Trigonometry works in all forms of geometry because every straight-sided figure can be divided into a set of triangles. In addition, trigonometry has surprisingly complex relationships with other branches of mathematics, especially complex numbers, infinite series, logarithms, and calculus.  How Online Learning is Revolutionizing the Education Industry  CUET - Exam Date, Application Form, Syllabus & Updates  The Growth of Indian Startups in 2022  Learn To Code: 20 Myths You Need To Know  State-Wise Famous Temples in India: Very Useful for Competitive Exams  Defence Research and Development Organization  How to make good notes: Scientifically Proven Techniques  NATO Phonetic Alphabets  What is Trigonometry Table? A trigonometric table is a set of trigonometric ratio values for various standard angles, including other angles such as 0°, 30°, 45°, 60°, 90°, sometimes 180°, 270° and 360°. , in tabular format. Because of the patterns within trigonometric ratios and even between angles, it is easy to predict values from the trig table and use the table as a reference to calculate trigonometric values for various other angles. Trigonometric functions are sine function, cosine function, tan function, cot function, sec function, and cosec function. What are Trigonometric values? Trigonometry deals with the relationship between the sides of a triangle (a right-angled triangle) and its angles. Trigonometric value is a collective term for the values of various ratios such as sine, cosine, tangent, secant, tangent, and cosecant of a trigonometric table. All trigonometric ratios are related to the sides of a right-angled triangle and their values are found using the following ratios. Steps to Create a Trigonometric Ratios Table To make Trigonometric table students can follow the steps given below: Step 1: Make a table listing the top row of angles as 0°, 30°, 45°, 60°, 90° and write all trigonometric functions in the first column as sin, cos, tan, cosec, sec, cot. Step 2: To Find out the value of sin Write down the angles 0°, 30°, 45°, 60°, 90° in ascending order and allocate them values 0, 1, 2, 3, 4 according to the order. Like this 0→→0, 30→→1, 45→→2, 60→→3, 90→→4. Divide the values by 4 and the square root of the entire value. 0° → √0/2 30° → 1 /2; 45° → 1/ √2; 60° → √3/2; 90° → √(4/4) Angles(in Degrees) 0° 30° 45° 60° 90° sin 0° 1/2 1/√2 √3/2 1

  2. Step 3: Find the value of cos: sin (90° - x) = cos x. Use this formula to calculate cos x values. For example, cos 45° = sin (90° - 45°) = sin 45°. Similarly, cos 30° = sin (90° - 30°) = sin 60°. Using this you can easily find the value of cos function as, Angles(in Degrees) 0° 30° 45° 60° 90° cos 1 √3/2 1/√2 1/2 0° Step 4: To Find the value of tan: (tan x = sin x / cos x). Therefore, the value of the function tan can be constructed as, Angles(in Degrees) 0° 30° 45° 60° 90° tan 0 1/√3 1 √3 ∞ Step 5: To Find the value of (cot x = 1/tan x). Therefore, the value of the cot function can be constructed as, Angles(in Degrees) 0° 30° 45° 60° 90° cot ∞ √3 1 1/√3 0 Step 6: To determine the value of cosec x: (cosec x = 1/sin x) Angles(in Degrees) 0° 30° 45° 60° 90° cosec ∞ 2 √2 2/√3 1 Step 7: To determine the value of sec (sec x = 1/cos x) Angles(in Degrees) 0° 30° 45° 60° 90° cosec 1 2/√3 √2 2 ∞ For more detailed derivation you can check Trigonometric Ratios of Some Specific Angles Tricks to remember trigonometry table Memorizing trigonometry tables will help you in many ways and It’s not difficult to remember the table. If you know the trigonometric formulas, the trigger table is very easy to remember. The trigonometric ratio table is based on trigonometric formulas. Below we are giving some simple trigonometric formulas. Start by memorizing these simple trigonometric formulas: sin x = cos (90° – x) cos x = sin (90° – x) tan x = cot (90° – x) cot x = tan (90° – x) sec x = cosec (90° – x) cosec x = sec (90° – x) 1/sin x = cosec x 1/cos x = sec x 1/tan x = cot x Second Trick Let&'s learn one hand trick to remember the trigonometric table easily! Set each finger at standard angles as shown in the picture. To fill in the sine values in the trigger table we'll include the number of fingers, while for the cosine table we'll just fill in the values in reverse order.

  3. Image Source: wikimedia.org Step 1: For the sine table, count the fingers on the left side at a standard angle. Step 2: In this step, Divide the number of fingers by 4 Step 3: Find the square root of the ratio. Example For the sin 60°, there are 3 fingers on the left. When 3 is divided by 4, we get (3/4). Finding the square root of the ratio (3/4) gives us the value of sin 60° = √3/2. Like this, we can find out the values for sin 30°,45°,and 90°. Trigonometry Ratios Table Angles(in Degrees) 0° 30° 45° 60° 90° Angles(in Radians) 0° π/6 π/4 π/3 π/2 sin 0 1/2 1/√2 √3/2 1 cos 1 √3/2 1/√2 1/2 0 tan 0 1/√3 1 √3 ∞ cot ∞ √3 1 1/√3 0 cosec ∞ 2 √2 2/√3 1 sec 1 2/√3 √2 2 ∞ Frequently Asked Question (FAQs) Q1. What is the formula to find the value of the trigonometric function? Ans. Trigonometry is a branch of mathematics in which we study relationships between sides and angles of a triangle. Trigonometry works in all forms of geometry because every straight-sided figure can be divided into a set of triangles. Trigonometric Application: 1. Trigonometry is used in cartography. Cartography is the creation of maps.

  4. 2. Trigonometry is used in satellites and in the aviation industry. 3. To describe sound waves we use trigonometric functions. Q2. What is a Trigonometric function? how many types of trigonometric functions there is? Ans . There are six basic trigonometric functions used in trigonometry. These functions are trigonometric ratios. The six basic trigonometric functions are sine, cosine, secant, cosecant, tangent, and tangent. Functions and trigonometric identities are the ratios of the sides of a right-angled triangle.The sides of a right-angle triangle are the vertices, hypotenuse, and base, which are used to calculate the values of sine, cosine, tangent, secant, cosine, and tangent using trigonometric formulas. Some of the trigonometric formulas are given for more you can check Trigonometric Formulas 1. Sin x = Opposite/Hypotenuse 2. Cos x = Adjacent/Hypotenuse 3. Tan x = Opposite/Adjacent 4. Cot x = 1/Tan = Adjacent/Opposite 5. Cosec x = 1/Sin = Hypotenuse/Opposite 6. Sec x = 1/Cos = Hypotenuse/Adjacent Q3. What are the application of Trigonometry in day-to-day life? Ans. It may not have direct application in solving practical problems, but it is used in various fields. For example, trigonometry is used to develop computer music: you know, sound propagates in waves and this is through wave patterns, the sine or cosine function of computer music development. Trigonometry is used to measure the height of a roof, building, or mountain. Q4. How to study trigonometry? Ans. Trigonometry is a branch of mathematics. Trigonometry is the study of triangles. It is very easy if approached in the right way. Start with the right triangle, Clear your basics and take help from NCERT Solution for Maths Class 10 Get Access To Our Free Batches Now Get instant access to high-quality material Enter Mobile Number NCERT Solutions Reference Book Solutions Question Papers NCERT Solution RS Aggarwal Class 7 solution for Maths JEE Mains Sample Paper NCERT Solution for Class 9 Math RS Aggarwal Class 8 solution for Maths NEET Sample Paper NCERT Solution for Class 9 Science RS Aggarwal Class 9 solution for Maths Sample Papers NCERT Solution for Class 10 Math RS Aggarwal class 10 solutions Previous Year paper CBSE class 10 NCERT Solution for Class 10 Science HC Verma solutions for class 11 & 12 Previous Year paper CBSE class 12 NCERT Solution for Class 11 Physics Science Formula Previous Year paper JEE Mains NCERT Solution for Class 11 Chemistry Physics Formulas Previous Year paper NEET NCERT Solution for Class 11 Math Math Formula Name Reaction of Organic chemistry NCERT Solution for Class 11 Biology Chemistry Formulas Mock Test for JEE Mains NCERT Solution for Class 12 Physics Important Questions CBSE Class 10 Mock Test for NEET NCERT Solution for Class 12 Chemistry Science Revision Notes Zoology NCERT Solution for Class 12 Math Important Questions CBSE Class 10 Revision Notes Botany NCERT Solution for Class 12 Biology Maths

  5. Revision Notes Physics class 12 Class 6 Maths NTSE Previous Year Papers Class 6 science Question Revision Notes Physics class 11 Courses Our Channels Physics Wallah We understand that every student has JEE Mains Physics Wallah different needs and capabilities, which is why JEE Advance Competition Wallah we create such a wonderful and unique NEET JEE Wallah curriculum that is the best fit for every student. Pathshala NCERT Wallah NDA Defence Wallah (NDA) State Boards Physics Wallah Foundation (9th & 10th) Follow Us: For media enquiries : pr@pw.live PW Pathshala Centers New Delhi Lucknow Pune Kanpur Varanasi Patna All Centers > Copyright © 2022 Physics Wallah Pvt. Ltd. All rights reserved. Terms & Conditions Privacy Policy About Us Contact Us

More Related