This book is not just about memorizing identities or applying formulas—it is about learning to think mathematically through angles, patterns, and relationships. Trigonometry is one of the most elegant branches of mathematics, connecting geometry, algebra, and logical reasoning. Every problem in this book is designed not only to test your knowledge, but also to develop your creativity, precision, and problem-solving skills.

To support your learning, the book also includes about ten pages of essential trigonometric formulas, identities, and key concepts, carefully organized for quick revision and easy reference before, during, or after solving.

Trigonometry goes far beyond sine, cosine, and tangent. It teaches you how to analyze shapes, interpret relationships between angles and lengths, and uncover hidden structures within mathematical problems. Rather than relying on routine methods, you will learn to explore multiple approaches, combine ideas, and build solutions step by step with clarity and confidence.

Why practice problems from past papers? Because they expose you to the style, depth, and creativity of real competition mathematics. Solving trigonometric problems strengthens logical thinking, improves analytical skills, and trains you to recognize important identities, transformations, and geometric insights under pressure. These abilities are valuable not only for mathematics competitions, but also for physics, engineering, astronomy, and many scientific disciplines.

Equally important, this journey develops perseverance. Some problems may appear difficult or unfamiliar at first—and that is completely normal. True mathematical progress comes from experimenting, making mistakes, trying different strategies, and gradually discovering the path to the solution. Through this process, you will build patience, resilience, and confidence in your own reasoning.

All the problems in this book focus on trigonometry: trigonometric identities, equations, angle transformations, graphs, triangles, periodic functions, inverse trigonometric functions, and more. Each exercise is followed by a fully detailed, step-by-step solution designed to explain not only the method, but also the reasoning behind every step.

The progression of the exercises has been carefully designed. Some problems are accessible and direct, while others require deeper insight and persistence. Do not rush. Trigonometry is not only about speed—it is about observation, structure, and elegant reasoning. Take time to draw diagrams, test identities, and explore different methods. Often, the most satisfying solutions emerge after thoughtful exploration.

Most importantly, remember that every accomplished mathematician once started exactly where you are now: learning fundamental ideas, developing intuition, and discovering the beauty of mathematics one problem at a time.

Your trigonometric journey begins here.

Now, let’s begin.

"About this title" may belong to another edition of this title.

Store Description

We first started out as ?The Paperback Exchange,? a chain of physical bookstores where we would part exchange your beloved books for new stories to transport you to faraway places. However, as shopping started to evolve to online shops and marketplaces, we bid our stores goodbye to become ?PBShop.? This transition has only allowed us to blossom as we now ship thousands of titles to book lovers across the globe. We pride ourselves in being a community of local book lovers which allows our passion and devotion to shine in everything we do. In 2020 we not only celebrated our 20th birthday but our 1st birthday as being completely employee owned after becoming an E.O.T in September 2019. We are proud to be different and embrace standing apart on a book mountain by working from a virtual inventory which allows us to provide thousands of books that may be difficult to get for your bookshelf or your studies. Working with a number of different suppliers allows us to explore other avenues such as puzzles, sheet music and even stationery so we really do have something for everyone. Life is about being versatile in all realms of existence. If this is your first visit or you are a returning customer, we would like to welcome you to the PBShop family, for there is no friend as loyal as a book. We are a company who put our customers at the centre of everything we do as we understand the importance of reading because once you learn to read, you will forever be free. There are a whole lot of things in this world of ours that we are yet to explore, which is why we will forever inspire curious minds.

Visit Seller's Storefront

Seller's business information

Pbshop.co.uk Ltd
Unit 22 Horcott Industrial Estate, Horcott Road, Fairford, GL7 4BX, United Kingdom

Sale & Shipping Terms

Terms of Sale

Returns Policy
We ask all customers to contact us for authorisation should they wish to return their order. Orders returned without authorisation may not be credited.
If you wish to return, please contact us within 14 days of receiving your order to obtain authorisation.

Returns requested beyond this time will not be authorised.

Our team will provide full instructions on how to return your order and once received our returns department will process your refund.
Please note the cost to return any...

More Information

Right of withdrawal

If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.

Information regarding the right of withdrawal

Statutory right to withdraw

You have the right to withdraw from this contract within 14 days without giving any reason.

The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.

To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.

To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.

Effects of withdrawal

If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).

We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.

We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.

We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.

We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.

You shall send back the goods or hand them over to PBShop.store US, Springfield Gardens, New York, U.S.A., +44 1285 712917, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.

Exceptions to the right of withdrawal

The right of withdrawal does not apply to:

The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.

Shipping Terms

Books are shipped from our US or UK warehouses. Delivery estimates allow for delivery from either location.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	7 to 14 business days	7 to 14 business days
First item	� 0.00	� 0.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.